82500800 has 42 divisors (see below), whose sum is σ = 203007468. Its totient is φ = 32999680.

The previous prime is 82500799. The next prime is 82500829. The reversal of 82500800 is 800528.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24182 + ... + 27381.

Almost surely, 2^82500800 is an apocalyptic number.

82500800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82500800 is an abundant number, since it is smaller than the sum of its proper divisors (120506668).

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

82500800 is a wasteful number, since it uses less digits than its factorization.

82500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51585 (or 51570 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 82500800 is about 9082.9951007363. The cubic root of 82500800 is about 435.3307916794.

The spelling of 82500800 in words is "eighty-two million, five hundred thousand, eight hundred".