76 (number)
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76 (seventy-six) is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called '' cardinal ...
following 75 and preceding 77.


In mathematics

76 is: * a
Lucas number The Lucas numbers or Lucas series are an integer sequence named after the mathematician François Édouard Anatole Lucas (1842–1891), who studied both that sequence and the closely related Fibonacci numbers. Lucas numbers and Fibonacci n ...
. * a telephone or involution number, the number of different ways of connecting 6 points with pairwise connections. * a
nontotient In number theory, a nontotient is a positive integer ''n'' which is not a totient number: it is not in the range of Euler's totient function φ, that is, the equation φ(''x'') = ''n'' has no solution ''x''. In other words, ''n'' is a nontotien ...
. * a 14-gonal number. * a
centered pentagonal number A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center in successive pentagonal layers. The centered pentagonal number for ''n'' is given by th ...
. * an Erdős–Woods number since it is possible to find sequences of 76 consecutive integers such that each inner member shares a factor with either the first or the last member. * a automorphic number in base 10. It is one of two 2-digit numbers whose square, and higher powers, end in the same two digits. The other is . There are 76 unique compact uniform hyperbolic honeycombs in the
third dimension Three-dimensional space (also: 3D space, 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called ''parameters'') are required to determine the position of an element (i.e., point). This is the informal ...
that are generated from Wythoff constructions.


In science

*The
atomic number The atomic number or nuclear charge number (symbol ''Z'') of a chemical element is the charge number of an atomic nucleus. For ordinary nuclei, this is equal to the proton number (''n''p) or the number of protons found in the nucleus of ever ...
of
osmium Osmium (from Greek grc, ὀσμή, osme, smell, label=none) is a chemical element with the symbol Os and atomic number 76. It is a hard, brittle, bluish-white transition metal in the platinum group that is found as a trace element in alloys, ...
. *The
Little Dumbbell Nebula The Little Dumbbell Nebula, also known as Messier 76, NGC 650/651, the Barbell Nebula, or the Cork Nebula, is a planetary nebula in northern constellation Perseus. It was discovered by Pierre Méchain in 1780 and included in Charles Messier's c ...
in the constellation
Pegasus Pegasus ( grc-gre, Πήγασος, Pḗgasos; la, Pegasus, Pegasos) is one of the best known creatures in Greek mythology. He is a winged divine stallion usually depicted as pure white in color. He was sired by Poseidon, in his role as hor ...
is designated as
Messier object The Messier objects are a set of 110 astronomical objects catalogued by the French astronomer Charles Messier in his ''Catalogue des Nébuleuses et des Amas d'Étoiles'' (''Catalogue of Nebulae and Star Clusters''). Because Messier was only in ...
76 (M76).


In other fields

Seventy-six is also: *In colloquial
American American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, pe ...
parlance, reference to
1776 Events January–February * January 1 – American Revolutionary War – Burning of Norfolk: The town of Norfolk, Virginia is destroyed, by the combined actions of the British Royal Navy and occupying Patriot forces. * Januar ...
, the year of the signing of the
United States Declaration of Independence The United States Declaration of Independence, formally The unanimous Declaration of the thirteen States of America, is the pronouncement and founding document adopted by the Second Continental Congress meeting at Pennsylvania State House ( ...
. *'' Seventy-Six'', an 1823 novel by American writer John Neal. *''The Spirit of '76'', patriotic painting by
Archibald MacNeal Willard Archibald MacNeal Willard (August 22, 1836 – October 11, 1918) was an American painter who was born and raised in Bedford, Ohio. He was the son of Samuel Willard, the pastor of Bedford Baptist Church. Willard had an interest in art ever since ...
. *A brand of
ConocoPhillips ConocoPhillips Company is an American multinational corporation engaged in hydrocarbon exploration and production. It is based in the Energy Corridor district of Houston, Texas. The company has operations in 15 countries and has production in ...
gas stations, 76. *The number of trombonists leading the parade in " Seventy-Six Trombones," from Meredith Willson's musical ''
The Music Man ''The Music Man'' is a musical with book, music, and lyrics by Meredith Willson, based on a story by Willson and Franklin Lacey. The plot concerns con man Harold Hill, who poses as a boys' band organizer and leader and sells band instruments ...
''. *The 76ers, a professional basketball team based in
Philadelphia Philadelphia, often called Philly, is the largest city in the Commonwealth of Pennsylvania, the sixth-largest city in the U.S., the second-largest city in both the Northeast megalopolis and Mid-Atlantic regions after New York City. Since ...
. * ''76'', the debut album of Dutch trance producer and DJ
Armin van Buuren Armin Jozef Jacobus Daniël van Buuren ( , ; born 25 December 1976) is a Dutch DJ and record producer from Leiden, South Holland. Since 2001, he has hosted '' A State of Trance'' (ASOT), a weekly radio show, which is broadcast to nearly 40&n ...
. * Years like
1876 Events January–March * January 1 ** The Reichsbank opens in Berlin. ** The Bass Brewery Red Triangle becomes the world's first registered trademark symbol. * February 2 – The National League of Professional Base Ball Clubs is ...
and 1976


See also

* List of highways numbered 76


References

{{Integers, zero Integers