82538880 has 64 divisors (see below), whose sum is σ = 263098800. Its totient is φ = 22009856.

The previous prime is 82538879. The next prime is 82538899. The reversal of 82538880 is 8883528.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 19575 + ... + 23414.

Almost surely, 2^82538880 is an apocalyptic number.

82538880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82538880 is an abundant number, since it is smaller than the sum of its proper divisors (180559920).

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

82538880 is a wasteful number, since it uses less digits than its factorization.

82538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43011 (or 42999 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 82538880 is about 9085.0910837481. The cubic root of 82538880 is about 435.3977601074.

The spelling of 82538880 in words is "eighty-two million, five hundred thirty-eight thousand, eight hundred eighty".