76870944 has 120 divisors (see below), whose sum is σ = 231251328. Its totient is φ = 25038720.

The previous prime is 76870933. The next prime is 76870951. The reversal of 76870944 is 44907867.

It is a super-2 number, since 2×76870944² = 11818284062902272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76870944.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 121509 + ... + 122139.

Almost surely, 2^76870944 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 76870944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115625664).

76870944 is an abundant number, since it is smaller than the sum of its proper divisors (154380384).

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

76870944 is a wasteful number, since it uses less digits than its factorization.

76870944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 76870944 is about 8767.6076554554. The cubic root of 76870944 is about 425.1942715061.

The spelling of 76870944 in words is "seventy-six million, eight hundred seventy thousand, nine hundred forty-four".