117744800 has 72 divisors (see below), whose sum is σ = 292973436. Its totient is φ = 46192640.

The previous prime is 117744799. The next prime is 117744827. The reversal of 117744800 is 8447711.

It can be written as a sum of positive squares in 6 ways, for example, as 34058896 + 83685904 = 5836^2 + 9148^2 .

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

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, 41012 + ... + 43788.

Almost surely, 2^117744800 is an apocalyptic number.

117744800 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 117744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146486718).

117744800 is an abundant number, since it is smaller than the sum of its proper divisors (175228636).

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

117744800 is a wasteful number, since it uses less digits than its factorization.

117744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 117744800 is about 10851.0276011076. The cubic root of 117744800 is about 490.1329640551.

The spelling of 117744800 in words is "one hundred seventeen million, seven hundred forty-four thousand, eight hundred".