82960800 has 144 divisors (see below), whose sum is σ = 290918880. Its totient is φ = 20413440.

The previous prime is 82960763. The next prime is 82960811. The reversal of 82960800 is 806928.

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, 29871 + ... + 32529.

It is an arithmetic number, because the mean of its divisors is an integer number (2020270).

Almost surely, 2^82960800 is an apocalyptic number.

82960800 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 82960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145459440).

82960800 is an abundant number, since it is smaller than the sum of its proper divisors (207958080).

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

82960800 is a wasteful number, since it uses less digits than its factorization.

82960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 82960800 is about 9108.2819455702. The cubic root of 82960800 is about 436.1383843757.

The spelling of 82960800 in words is "eighty-two million, nine hundred sixty thousand, eight hundred".