76712364 has 72 divisors (see below), whose sum is σ = 206846640. Its totient is φ = 23887872.

The previous prime is 76712357. The next prime is 76712369. The reversal of 76712364 is 46321767.

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

It is not an unprimeable number, because it can be changed into a prime (76712369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 99372 + ... + 100140.

It is an arithmetic number, because the mean of its divisors is an integer number (2872870).

Almost surely, 2^76712364 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 76712364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103423320).

76712364 is an abundant number, since it is smaller than the sum of its proper divisors (130134276).

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

76712364 is a wasteful number, since it uses less digits than its factorization.

76712364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 954 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 76712364 is about 8758.5594705979. The cubic root of 76712364 is about 424.9016870635.

It can be divided in two parts, 767 and 12364, that added together give a palindrome (13131).

The spelling of 76712364 in words is "seventy-six million, seven hundred twelve thousand, three hundred sixty-four".