82940800 has 48 divisors (see below), whose sum is σ = 204897600. Its totient is φ = 33175040.

The previous prime is 82940797. The next prime is 82940801. The reversal of 82940800 is 804928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82940801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9760 + ... + 16159.

It is an arithmetic number, because the mean of its divisors is an integer number (4268700).

Almost surely, 2^82940800 is an apocalyptic number.

82940800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82940800 is an abundant number, since it is smaller than the sum of its proper divisors (121956800).

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

82940800 is a wasteful number, since it uses less digits than its factorization.

82940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25943 (or 25926 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 82940800 is about 9107.1839774982. The cubic root of 82940800 is about 436.1033338107.

The spelling of 82940800 in words is "eighty-two million, nine hundred forty thousand, eight hundred".