82220800 has 108 divisors (see below), whose sum is σ = 211002120. Its totient is φ = 31682560.

The previous prime is 82220797. The next prime is 82220821. The reversal of 82220800 is 802228.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 185379 + ... + 185821.

Almost surely, 2^82220800 is an apocalyptic number.

82220800 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 82220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105501060).

82220800 is an abundant number, since it is smaller than the sum of its proper divisors (128781320).

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

82220800 is a wasteful number, since it uses less digits than its factorization.

82220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 82220800 is about 9067.5685825915. The cubic root of 82220800 is about 434.8377428053.

The spelling of 82220800 in words is "eighty-two million, two hundred twenty thousand, eight hundred".