117004800 has 240 divisors, whose sum is σ = 423178272. Its totient is φ = 28262400.

The previous prime is 117004759. The next prime is 117004813. The reversal of 117004800 is 8400711.

It is a tau number, because it is divible by the number of its divisors (240).

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, 422262 + ... + 422538.

Almost surely, 2^117004800 is an apocalyptic number.

117004800 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 117004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211589136).

117004800 is an abundant number, since it is smaller than the sum of its proper divisors (306173472).

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

117004800 is a wasteful number, since it uses less digits than its factorization.

117004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 117004800 is about 10816.8757041948. The cubic root of 117004800 is about 489.1040130698.

The spelling of 117004800 in words is "one hundred seventeen million, four thousand, eight hundred".