76986624 has 144 divisors (see below), whose sum is σ = 241061184. Its totient is φ = 21504000.

The previous prime is 76986617. The next prime is 76986631. The reversal of 76986624 is 42668967.

It is an interprime number because it is at equal distance from previous prime (76986617) and next prime (76986631).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 109474 + ... + 110174.

It is an arithmetic number, because the mean of its divisors is an integer number (1674036).

Almost surely, 2^76986624 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 76986624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120530592).

76986624 is an abundant number, since it is smaller than the sum of its proper divisors (164074560).

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

76986624 is a wasteful number, since it uses less digits than its factorization.

76986624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 76986624 is about 8774.2021859540. The cubic root of 76986624 is about 425.4074505412.

The spelling of 76986624 in words is "seventy-six million, nine hundred eighty-six thousand, six hundred twenty-four".