117812800 has 168 divisors, whose sum is σ = 338393024. Its totient is φ = 39536640.

The previous prime is 117812789. The next prime is 117812801. The reversal of 117812800 is 8218711.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (117812801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750322 + ... + 750478.

Almost surely, 2^117812800 is an apocalyptic number.

117812800 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 117812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169196512).

117812800 is an abundant number, since it is smaller than the sum of its proper divisors (220580224).

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

117812800 is a wasteful number, since it uses less digits than its factorization.

117812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 28.

The square root of 117812800 is about 10854.1604926406. The cubic root of 117812800 is about 490.2272997923.

The spelling of 117812800 in words is "one hundred seventeen million, eight hundred twelve thousand, eight hundred".