76952064 has 160 divisors (see below), whose sum is σ = 248662656. Its totient is φ = 20643840.

The previous prime is 76952059. The next prime is 76952077. The reversal of 76952064 is 46025967.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182574 + ... + 182994.

Almost surely, 2^76952064 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 76952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124331328).

76952064 is an abundant number, since it is smaller than the sum of its proper divisors (171710592).

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

76952064 is a wasteful number, since it uses less digits than its factorization.

76952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 76952064 is about 8772.2325550569. The cubic root of 76952064 is about 425.3437845811.

The spelling of 76952064 in words is "seventy-six million, nine hundred fifty-two thousand, sixty-four".