82880304 has 120 divisors (see below), whose sum is σ = 245890512. Its totient is φ = 23961600.

The previous prime is 82880257. The next prime is 82880323. The reversal of 82880304 is 40308828.

It is a super-2 number, since 2×82880304² = 13738289582264832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137604 + ... + 138204.

Almost surely, 2^82880304 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 82880304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122945256).

82880304 is an abundant number, since it is smaller than the sum of its proper divisors (163010208).

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

82880304 is a wasteful number, since it uses less digits than its factorization.

82880304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 82880304 is about 9103.8620376190. The cubic root of 82880304 is about 435.9972785510.

The spelling of 82880304 in words is "eighty-two million, eight hundred eighty thousand, three hundred four".