117388800 has 180 divisors, whose sum is σ = 420514380. Its totient is φ = 31272960.

The previous prime is 117388793. The next prime is 117388801. The reversal of 117388800 is 8883711.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117388801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114691 + ... + 115709.

It is an arithmetic number, because the mean of its divisors is an integer number (2336191).

Almost surely, 2^117388800 is an apocalyptic number.

117388800 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 117388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210257190).

117388800 is an abundant number, since it is smaller than the sum of its proper divisors (303125580).

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

117388800 is a wasteful number, since it uses less digits than its factorization.

117388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 117388800 is about 10834.6112066839. The cubic root of 117388800 is about 489.6384949868.

The spelling of 117388800 in words is "one hundred seventeen million, three hundred eighty-eight thousand, eight hundred".