99730800 has 180 divisors, whose sum is σ = 372891064. Its totient is φ = 24537600.

The previous prime is 99730781. The next prime is 99730801. The reversal of 99730800 is 803799.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99730801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45735 + ... + 47865.

Almost surely, 2^99730800 is an apocalyptic number.

99730800 is a gapful number since it is divisible by the number (90) 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 99730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186445532).

99730800 is an abundant number, since it is smaller than the sum of its proper divisors (273160264).

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

99730800 is a wasteful number, since it uses less digits than its factorization.

99730800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 99730800 is about 9986.5309292066. The cubic root of 99730800 is about 463.7420038193.

The spelling of 99730800 in words is "ninety-nine million, seven hundred thirty thousand, eight hundred".