117856800 has 108 divisors (see below), whose sum is σ = 415617930. Its totient is φ = 31426560.

The previous prime is 117856771. The next prime is 117856813. The reversal of 117856800 is 8658711.

It can be written as a sum of positive squares in 3 ways, for example, as 76947984 + 40908816 = 8772^2 + 6396^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 985 + ... + 15384.

Almost surely, 2^117856800 is an apocalyptic number.

117856800 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 117856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207808965).

117856800 is an abundant number, since it is smaller than the sum of its proper divisors (297761130).

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

117856800 is a wasteful number, since it uses less digits than its factorization.

117856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16395 (or 16379 counting only the distinct ones).

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

The square root of 117856800 is about 10856.1871759840. The cubic root of 117856800 is about 490.2883212220.

The spelling of 117856800 in words is "one hundred seventeen million, eight hundred fifty-six thousand, eight hundred".