76940832 has 48 divisors (see below), whose sum is σ = 204755040. Its totient is φ = 25293312.

The previous prime is 76940821. The next prime is 76940837. The reversal of 76940832 is 23804967.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (76940837) 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, 1519 + ... + 12497.

It is an arithmetic number, because the mean of its divisors is an integer number (4265730).

Almost surely, 2^76940832 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 76940832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102377520).

76940832 is an abundant number, since it is smaller than the sum of its proper divisors (127814208).

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

76940832 is a wasteful number, since it uses less digits than its factorization.

76940832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11065 (or 11057 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 76940832 is about 8771.5923297882. The cubic root of 76940832 is about 425.3230890398.

The spelling of 76940832 in words is "seventy-six million, nine hundred forty thousand, eight hundred thirty-two".