82805920 has 48 divisors (see below), whose sum is σ = 196174440. Its totient is φ = 33030144.

The previous prime is 82805881. The next prime is 82805953. The reversal of 82805920 is 2950828.

It can be written as a sum of positive squares in 4 ways, for example, as 55890576 + 26915344 = 7476^2 + 5188^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107296 + ... + 108064.

Almost surely, 2^82805920 is an apocalyptic number.

82805920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82805920 is an abundant number, since it is smaller than the sum of its proper divisors (113368520).

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

82805920 is a wasteful number, since it uses less digits than its factorization.

82805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 82805920 is about 9099.7758214145. The cubic root of 82805920 is about 435.8668055394.

The spelling of 82805920 in words is "eighty-two million, eight hundred five thousand, nine hundred twenty".