82502880 has 48 divisors (see below), whose sum is σ = 259885584. Its totient is φ = 22000640.

The previous prime is 82502869. The next prime is 82502881. The reversal of 82502880 is 8820528.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82502881) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 85461 + ... + 86420.

It is an arithmetic number, because the mean of its divisors is an integer number (5414283).

Almost surely, 2^82502880 is an apocalyptic number.

82502880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82502880 is an abundant number, since it is smaller than the sum of its proper divisors (177382704).

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

82502880 is a wasteful number, since it uses less digits than its factorization.

82502880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171899 (or 171891 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 82502880 is about 9083.1095996911. The cubic root of 82502880 is about 435.3344501508.

The spelling of 82502880 in words is "eighty-two million, five hundred two thousand, eight hundred eighty".