117795200 has 96 divisors (see below), whose sum is σ = 294255720. Its totient is φ = 46592000.

The previous prime is 117795199. The next prime is 117795217. The reversal of 117795200 is 2597711.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419060 + ... + 419340.

Almost surely, 2^117795200 is an apocalyptic number.

117795200 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 117795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147127860).

117795200 is an abundant number, since it is smaller than the sum of its proper divisors (176460520).

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

117795200 is a wasteful number, since it uses less digits than its factorization.

117795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 32.

The square root of 117795200 is about 10853.3497133374. The cubic root of 117795200 is about 490.2028869663.

The spelling of 117795200 in words is "one hundred seventeen million, seven hundred ninety-five thousand, two hundred".