Properties of the Number 76800

Seventy-Six Thousand Eight Hundred

Basics

Value: 76799 → 76800 → 76801

Parity: even

Prime: No

Previous Prime: 76781

Next Prime: 76801

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ¹⁰ × 3 × 5 ²

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110000000000

Octal: 226000

Duodecimal: 38540

Hexadecimal: 12c00

Square: 5898240000

Square Root: 277.1281292110204

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

13-almost primes (generalization of semiprimes). A69274

Expansion of theta₃ / theta₄. A7096

Number T(n,k) of tilings of a 3k X n rectangle with right trominoes. A351322

Expansion of (theta₃(q) / theta₄(q))² in powers of q. A14969

A triangle related to the a(n) formulas of the rows of the ED4 array A167584. A167591

Numbers k such that (number of prime factors of k counted with multiplicity) less (number of distinct prime factors of k) = 10. A195069

Nonprime Heinz numbers of integer partitions whose product is equal to their sum. A301988

Number of tilings of a 5 X 3n rectangle with right trominoes. A84478

Expansion of φ(q²)² / (φ(-q) * φ(q⁴)) in powers of q where φ() is a Ramanujan θ function. A212318

Expansion of (φ(-q) / φ(q))² in powers of q where φ() is a Ramanujan θ function. A139820