99880800 has 72 divisors (see below), whose sum is σ = 325119816. Its totient is φ = 26634240.

The previous prime is 99880799. The next prime is 99880811. The reversal of 99880800 is 808899.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent 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, 18409 + ... + 23208.

It is an arithmetic number, because the mean of its divisors is an integer number (4515553).

Almost surely, 2^99880800 is an apocalyptic number.

It is an amenable number.

99880800 is an abundant number, since it is smaller than the sum of its proper divisors (225239016).

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

99880800 is a wasteful number, since it uses less digits than its factorization.

99880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41640 (or 41627 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 99880800 is about 9994.0382228607. The cubic root of 99880800 is about 463.9743842379.

The spelling of 99880800 in words is "ninety-nine million, eight hundred eighty thousand, eight hundred".