82970880 has 288 divisors, whose sum is σ = 296690688. Its totient is φ = 19660800.

The previous prime is 82970843. The next prime is 82970947. The reversal of 82970880 is 8807928.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023660 + ... + 2023700.

It is an arithmetic number, because the mean of its divisors is an integer number (1030176).

Almost surely, 2^82970880 is an apocalyptic number.

82970880 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 82970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148345344).

82970880 is an abundant number, since it is smaller than the sum of its proper divisors (213719808).

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

82970880 is a wasteful number, since it uses less digits than its factorization.

82970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 82970880 is about 9108.8352713176. The cubic root of 82970880 is about 436.1560477254.

The spelling of 82970880 in words is "eighty-two million, nine hundred seventy thousand, eight hundred eighty".