99376800 has 144 divisors (see below), whose sum is σ = 330728832. Its totient is φ = 25907200.

The previous prime is 99376789. The next prime is 99376817. The reversal of 99376800 is 867399.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112360 + ... + 113240.

It is an arithmetic number, because the mean of its divisors is an integer number (2296728).

Almost surely, 2^99376800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165364416).

99376800 is an abundant number, since it is smaller than the sum of its proper divisors (231352032).

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

99376800 is a wasteful number, since it uses less digits than its factorization.

99376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 99376800 is about 9968.7913008549. The cubic root of 99376800 is about 463.1926606859.

The spelling of 99376800 in words is "ninety-nine million, three hundred seventy-six thousand, eight hundred".