117280800 has 432 divisors, whose sum is σ = 511842240. Its totient is φ = 24606720.

The previous prime is 117280789. The next prime is 117280811. The reversal of 117280800 is 8082711.

It is an interprime number because it is at equal distance from previous prime (117280789) and next prime (117280811).

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655111 + ... + 655289.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 2^117280800 is an apocalyptic number.

117280800 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 117280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

117280800 is an abundant number, since it is smaller than the sum of its proper divisors (394561440).

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

117280800 is a wasteful number, since it uses less digits than its factorization.

117280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 117280800 is about 10829.6260323245. The cubic root of 117280800 is about 489.4882899050.

The spelling of 117280800 in words is "one hundred seventeen million, two hundred eighty thousand, eight hundred".