117865800 has 384 divisors, whose sum is σ = 462470400. Its totient is φ = 27371520.

The previous prime is 117865771. The next prime is 117865849. The reversal of 117865800 is 8568711.

117865800 is a `hidden beast` number, since 1 + 1 + 78 + 6 + 580 + 0 = 666.

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1614564 + ... + 1614636.

It is an arithmetic number, because the mean of its divisors is an integer number (1204350).

Almost surely, 2^117865800 is an apocalyptic number.

117865800 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 117865800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231235200).

117865800 is an abundant number, since it is smaller than the sum of its proper divisors (344604600).

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

117865800 is a wasteful number, since it uses less digits than its factorization.

117865800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 117865800 is about 10856.6016782417. The cubic root of 117865800 is about 490.3008010070.

The spelling of 117865800 in words is "one hundred seventeen million, eight hundred sixty-five thousand, eight hundred".