82422800 has 180 divisors, whose sum is σ = 226580736. Its totient is φ = 28723200.

The previous prime is 82422793. The next prime is 82422827. The reversal of 82422800 is 822428.

It is a self number, because there is not a number n which added to its sum of digits gives 82422800.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2658785 + ... + 2658815.

Almost surely, 2^82422800 is an apocalyptic number.

82422800 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 82422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113290368).

82422800 is an abundant number, since it is smaller than the sum of its proper divisors (144157936).

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

82422800 is a wasteful number, since it uses less digits than its factorization.

82422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 82422800 is about 9078.7003475167. The cubic root of 82422800 is about 435.1935545920.

The spelling of 82422800 in words is "eighty-two million, four hundred twenty-two thousand, eight hundred".