76 (number)

76 (seventy-six) is the natural number following 75 and preceding 77.

← 75 76 77 →
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Cardinal	seventy-six
Ordinal	76th (seventy-sixth)
Factorization	2^2 × 19
Divisors	1, 2, 4, 19, 38, 76
Greek numeral	ΟϚ´
Roman numeral	LXXVI
Binary	10011002
Ternary	22113
Octal	1148
Duodecimal	6412
Hexadecimal	4C16

In mathematics

76 is:

• a Lucas number.[1]
• an automorphic number.[2]
• a nontotient.[3]
• a 14-gonal number.[4]
• a centered pentagonal number.[5]
• a telephone number.
• 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.[6]
• One of two 2-digit numbers whose square, and higher powers, end in the same two digits. The other is 25.

In science

• The atomic number of osmium.
• The Little Dumbbell Nebula in the constellation Pegasus is designated as Messier object 76 (M76).

In other fields

The Bennington Flag features the number 76

Seventy-six is also:

• In colloquial American parlance, reference to 1776, the year of the signing of the United States Declaration of Independence.
• The Spirit of '76, patriotic painting by Archibald MacNeal Willard.
• A brand of ConocoPhillips gas stations, 76.
• The number of trombonists leading the parade in "Seventy-Six Trombones," from Meredith Willson's musical The Music Man.
• The 76ers, a professional basketball team based in Philadelphia.
• 76, the debut album of Dutch trance producer and DJ Armin van Buuren.

See also

• List of highways numbered 76

References

1. "Sloane's A000032 : Lucas numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
2. "Sloane's A003226 : Automorphic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
3. "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
4. "Sloane's A051866 : 14-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
5. "Sloane's A005891 : Centered pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
6. "Sloane's A059756 : Erdős-Woods numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.