76992520 has 64 divisors (see below), whose sum is σ = 190045440. Its totient is φ = 27840000.

The previous prime is 76992497. The next prime is 76992527. The reversal of 76992520 is 2529967.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (76992527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102145 + ... + 102895.

It is an arithmetic number, because the mean of its divisors is an integer number (2969460).

Almost surely, 2^76992520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76992520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95022720).

76992520 is an abundant number, since it is smaller than the sum of its proper divisors (113052920).

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

76992520 is a wasteful number, since it uses less digits than its factorization.

76992520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 76992520 is about 8774.5381644848. The cubic root of 76992520 is about 425.4183101693.

The spelling of 76992520 in words is "seventy-six million, nine hundred ninety-two thousand, five hundred twenty".