76952832 has 72 divisors (see below), whose sum is σ = 223450080. Its totient is φ = 23316480.

The previous prime is 76952753. The next prime is 76952833. The reversal of 76952832 is 23825967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76952833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3894 + ... + 13002.

Almost surely, 2^76952832 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 76952832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111725040).

76952832 is an abundant number, since it is smaller than the sum of its proper divisors (146497248).

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

76952832 is a wasteful number, since it uses less digits than its factorization.

76952832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139 (or 9125 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 76952832 is about 8772.2763294370. The cubic root of 76952832 is about 425.3451995873.

The spelling of 76952832 in words is "seventy-six million, nine hundred fifty-two thousand, eight hundred thirty-two".