76264832 has 64 divisors (see below), whose sum is σ = 177431040. Its totient is φ = 31971840.

The previous prime is 76264831. The next prime is 76264871. The reversal of 76264832 is 23846267.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76264831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41207 + ... + 43017.

It is an arithmetic number, because the mean of its divisors is an integer number (2772360).

Almost surely, 2^76264832 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 76264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88715520).

76264832 is an abundant number, since it is smaller than the sum of its proper divisors (101166208).

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

76264832 is a wasteful number, since it uses less digits than its factorization.

76264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1867 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 76264832 is about 8732.9738348400. The cubic root of 76264832 is about 424.0737975262.

The spelling of 76264832 in words is "seventy-six million, two hundred sixty-four thousand, eight hundred thirty-two".