76963832 has 64 divisors (see below), whose sum is σ = 167270400. Its totient is φ = 32832000.

The previous prime is 76963829. The next prime is 76963841. The reversal of 76963832 is 23836967.

It is a super-2 number, since 2×76963832² = 11846862872248448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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, 319232 + ... + 319472.

It is an arithmetic number, because the mean of its divisors is an integer number (2613600).

Almost surely, 2^76963832 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 76963832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635200).

76963832 is an abundant number, since it is smaller than the sum of its proper divisors (90306568).

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

76963832 is a wasteful number, since it uses less digits than its factorization.

76963832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its digits is 326592, while the sum is 44.

The square root of 76963832 is about 8772.9032822664. The cubic root of 76963832 is about 425.3654655699.

The spelling of 76963832 in words is "seventy-six million, nine hundred sixty-three thousand, eight hundred thirty-two".