82980900 has 108 divisors (see below), whose sum is σ = 262386852. Its totient is φ = 21934080.

The previous prime is 82980883. The next prime is 82980943. The reversal of 82980900 is 908928.

It can be written as a sum of positive squares in 6 ways, for example, as 2842596 + 80138304 = 1686^2 + 8952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122964 + ... + 123636.

Almost surely, 2^82980900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82980900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131193426).

82980900 is an abundant number, since it is smaller than the sum of its proper divisors (179405952).

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

82980900 is a wasteful number, since it uses less digits than its factorization.

82980900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 82980900 is about 9109.3852701486. The cubic root of 82980900 is about 436.1736045184.

The spelling of 82980900 in words is "eighty-two million, nine hundred eighty thousand, nine hundred".