76867164 has 96 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 22999680.

The previous prime is 76867159. The next prime is 76867181. The reversal of 76867164 is 46176867.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105369 + ... + 106095.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^76867164 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 76867164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

76867164 is an abundant number, since it is smaller than the sum of its proper divisors (143280036).

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

76867164 is a wasteful number, since it uses less digits than its factorization.

76867164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

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

The square root of 76867164 is about 8767.3920865899. The cubic root of 76867164 is about 425.1873019863.

The spelling of 76867164 in words is "seventy-six million, eight hundred sixty-seven thousand, one hundred sixty-four".