76 (number)

← 75 76 77 →
←70717273747576777879→ List of numbers Integers ←0102030405060708090→
Cardinal	seventy-six
Ordinal	76th (seventy-sixth)
Factorization	22× 19
Divisors	1, 2, 4, 19, 38, 76
Greek numeral	ΟϚ´
Roman numeral	LXXVI
Binary	10011002
Ternary	22113
Senary	2046
Octal	1148
Duodecimal	6412
Hexadecimal	4C16

76(seventy-six) is thenatural numberfollowing75and preceding77.

In mathematics

76is:

• acomposite number;a square-prime, of the form (p²,q) where q is a higher prime. It is the ninth of this general form and the seventh of the form (2².q).

• aLucas number.
• atelephone or involution number,the number of different ways of connecting 6 points with pairwise connections.
• anontotient.
• a 14-gonal number.
• acentered pentagonal number.
• anErdős–Woods numbersince 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.
• with analiquot sumof64;within analiquot sequenceof two composite numbers (76,64,63,1,0) to the Prime in the 63-aliquot tree.
• anautomorphic numberin base 10.It is one of two 2-digit numbers whose square, 5,776, and higher powers, end in the same two digits. The other is25.

There are 76 unique compactuniform hyperbolic honeycombsin thethird dimensionthat are generated fromWythoff constructions.

In science

• Theatomic numberofosmium.
• TheLittle Dumbbell Nebulain the constellationPegasusis designated asMessier object76 (M76).

In other fields

The Bennington Flag features the number 76.

Seventy-sixis also:

• In colloquialAmericanparlance, reference to1776,the year of the signing of theUnited States Declaration of Independence.
• Seventy-Six,an 1823 novel by American writerJohn Neal.
• The Spirit of '76,patriotic painting byArchibald MacNeal Willard.
• A brand ofConocoPhillipsgas stations,76.
• The number of trombonists leading the parade in "Seventy-Six Trombones",fromMeredith Willson's musicalThe Music Man.
• The76ers,a professional basketball team based inPhiladelphia.
• 76,the debut album of Dutch trance producer and DJArmin van Buuren.
• Years like1876and1976
• Fallout 76,a 2018 game by Bethesda Studios.

See also

• List of highways numbered 76