117892800 has 168 divisors, whose sum is σ = 429920400. Its totient is φ = 31426560.

The previous prime is 117892793. The next prime is 117892811. The reversal of 117892800 is 8298711.

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

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, 41836 + ... + 44564.

It is an arithmetic number, because the mean of its divisors is an integer number (2559050).

Almost surely, 2^117892800 is an apocalyptic number.

117892800 is a gapful number since it is divisible by the number (10) 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 117892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214960200).

117892800 is an abundant number, since it is smaller than the sum of its proper divisors (312027600).

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

117892800 is a wasteful number, since it uses less digits than its factorization.

117892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 117892800 is about 10857.8450900720. The cubic root of 117892800 is about 490.3382365507.

The spelling of 117892800 in words is "one hundred seventeen million, eight hundred ninety-two thousand, eight hundred".