76140864 has 112 divisors (see below), whose sum is σ = 226161600. Its totient is φ = 25118208.

The previous prime is 76140853. The next prime is 76140899. The reversal of 76140864 is 46804167.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 240034 + ... + 240350.

It is an arithmetic number, because the mean of its divisors is an integer number (2019300).

Almost surely, 2^76140864 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 76140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113080800).

76140864 is an abundant number, since it is smaller than the sum of its proper divisors (150020736).

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

76140864 is a wasteful number, since it uses less digits than its factorization.

76140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76140864 is about 8725.8732514288. The cubic root of 76140864 is about 423.8438964922.

The spelling of 76140864 in words is "seventy-six million, one hundred forty thousand, eight hundred sixty-four".