82502800 has 60 divisors (see below), whose sum is σ = 199272960. Its totient is φ = 32824960.

The previous prime is 82502789. The next prime is 82502809. The reversal of 82502800 is 820528.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (82502809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95169 + ... + 96031.

It is an arithmetic number, because the mean of its divisors is an integer number (3321216).

Almost surely, 2^82502800 is an apocalyptic number.

82502800 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 82502800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99636480).

82502800 is an abundant number, since it is smaller than the sum of its proper divisors (116770160).

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

82502800 is a wasteful number, since it uses less digits than its factorization.

82502800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 82502800 is about 9083.1051959118. The cubic root of 82502800 is about 435.3343094415.

The spelling of 82502800 in words is "eighty-two million, five hundred two thousand, eight hundred".