82795920 has 160 divisors (see below), whose sum is σ = 275220480. Its totient is φ = 20528640.

The previous prime is 82795919. The next prime is 82795931. The reversal of 82795920 is 2959728.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305385 + ... + 305655.

It is an arithmetic number, because the mean of its divisors is an integer number (1720128).

Almost surely, 2^82795920 is an apocalyptic number.

82795920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137610240).

82795920 is an abundant number, since it is smaller than the sum of its proper divisors (192424560).

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

82795920 is a wasteful number, since it uses less digits than its factorization.

82795920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 82795920 is about 9099.2263407391. The cubic root of 82795920 is about 435.8492591147.

The spelling of 82795920 in words is "eighty-two million, seven hundred ninety-five thousand, nine hundred twenty".