117514800 has 420 divisors, whose sum is σ = 470567104. Its totient is φ = 27993600.

The previous prime is 117514781. The next prime is 117514801. The reversal of 117514800 is 8415711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (117514801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3790785 + ... + 3790815.

Almost surely, 2^117514800 is an apocalyptic number.

117514800 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 117514800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235283552).

117514800 is an abundant number, since it is smaller than the sum of its proper divisors (353052304).

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

117514800 is a wasteful number, since it uses less digits than its factorization.

117514800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 117514800 is about 10840.4243459378. The cubic root of 117514800 is about 489.8136178553.

The spelling of 117514800 in words is "one hundred seventeen million, five hundred fourteen thousand, eight hundred".