76512960 has 168 divisors, whose sum is σ = 271979136. Its totient is φ = 19722240.

The previous prime is 76512941. The next prime is 76512977. The reversal of 76512960 is 6921567.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88852 + ... + 89708.

Almost surely, 2^76512960 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 76512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135989568).

76512960 is an abundant number, since it is smaller than the sum of its proper divisors (195466176).

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

76512960 is a wasteful number, since it uses less digits than its factorization.

76512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 76512960 is about 8747.1686847802. The cubic root of 76512960 is about 424.5332083715.

The spelling of 76512960 in words is "seventy-six million, five hundred twelve thousand, nine hundred sixty".