82800800 has 144 divisors (see below), whose sum is σ = 216548640. Its totient is φ = 30858240.

The previous prime is 82800797. The next prime is 82800821. The reversal of 82800800 is 800828.

It is a self number, because there is not a number n which added to its sum of digits gives 82800800.

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 23 ways as a sum of consecutive naturals, for example, 997559 + ... + 997641.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 2^82800800 is an apocalyptic number.

82800800 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 82800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108274320).

82800800 is an abundant number, since it is smaller than the sum of its proper divisors (133747840).

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

82800800 is a wasteful number, since it uses less digits than its factorization.

82800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 82800800 is about 9099.4944914539. The cubic root of 82800800 is about 435.8578219464.

The spelling of 82800800 in words is "eighty-two million, eight hundred thousand, eight hundred".