82792960 has 40 divisors (see below), whose sum is σ = 198515196. Its totient is φ = 33116160.

The previous prime is 82792933. The next prime is 82792967. The reversal of 82792960 is 6929728.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75481344 + 7311616 = 8688^2 + 2704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (82792967) 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 3 ways as a sum of consecutive naturals, for example, 13611 + ... + 18730.

Almost surely, 2^82792960 is an apocalyptic number.

82792960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82792960 is an abundant number, since it is smaller than the sum of its proper divisors (115722236).

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

82792960 is an equidigital number, since it uses as much as digits as its factorization.

82792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32364 (or 32348 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 82792960 is about 9099.0636880945. The cubic root of 82792960 is about 435.8440651020.

The spelling of 82792960 in words is "eighty-two million, seven hundred ninety-two thousand, nine hundred sixty".