82790800 has 60 divisors (see below), whose sum is σ = 207576000. Its totient is φ = 31672960.

The previous prime is 82790789. The next prime is 82790837. The reversal of 82790800 is 809728.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4701 + ... + 13699.

It is an arithmetic number, because the mean of its divisors is an integer number (3459600).

Almost surely, 2^82790800 is an apocalyptic number.

82790800 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 82790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103788000).

82790800 is an abundant number, since it is smaller than the sum of its proper divisors (124785200).

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

82790800 is a wasteful number, since it uses less digits than its factorization.

82790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9040 (or 9029 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 82790800 is about 9098.9449937891. The cubic root of 82790800 is about 435.8402747983.

The spelling of 82790800 in words is "eighty-two million, seven hundred ninety thousand, eight hundred".