76920 has 32 divisors (see below), whose sum is σ = 231120. Its totient is φ = 20480.

The previous prime is 76919. The next prime is 76943. The reversal of 76920 is 2967.

76920 = T₁₁₉ + T₁₂₀ + ... + T₁₂₈.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 440.

2⁷⁶⁹²⁰ is an apocalyptic number.

It is an amenable number.

76920 is an abundant number, since it is smaller than the sum of its proper divisors (154200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115560).

76920 is a wasteful number, since it uses less digits than its factorization.

76920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 76920 is about 277.3445510552. The cubic root of 76920 is about 42.5284699669.

The spelling of 76920 in words is "seventy-six thousand, nine hundred twenty".