82788864 has 40 divisors (see below), whose sum is σ = 220558800. Its totient is φ = 27595776.

The previous prime is 82788863. The next prime is 82788899. The reversal of 82788864 is 46888728.

It is not an unprimeable number, because it can be changed into a prime (82788863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25414 + ... + 28485.

It is an arithmetic number, because the mean of its divisors is an integer number (5513970).

Almost surely, 2^82788864 is an apocalyptic number.

It is an amenable number.

82788864 is an abundant number, since it is smaller than the sum of its proper divisors (137769936).

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

82788864 is an equidigital number, since it uses as much as digits as its factorization.

82788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53920 (or 53904 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 82788864 is about 9098.8386072070. The cubic root of 82788864 is about 435.8368775072.

It can be divided in two parts, 8 and 2788864, that added together give a palindrome (2788872).

The spelling of 82788864 in words is "eighty-two million, seven hundred eighty-eight thousand, eight hundred sixty-four".