99796800 has 168 divisors, whose sum is σ = 346959936. Its totient is φ = 25026560.

The previous prime is 99796799. The next prime is 99796811. The reversal of 99796800 is 869799.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 99796800.

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 23 ways as a sum of consecutive naturals, for example, 80989 + ... + 82211.

Almost surely, 2^99796800 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 99796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173479968).

99796800 is an abundant number, since it is smaller than the sum of its proper divisors (247163136).

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

99796800 is a wasteful number, since it uses less digits than its factorization.

99796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 99796800 is about 9989.8348334695. The cubic root of 99796800 is about 463.8442798899.

The spelling of 99796800 in words is "ninety-nine million, seven hundred ninety-six thousand, eight hundred".