117755400 has 288 divisors, whose sum is σ = 444346560. Its totient is φ = 25259520.

The previous prime is 117755389. The next prime is 117755411. The reversal of 117755400 is 4557711.

It is an interprime number because it is at equal distance from previous prime (117755389) and next prime (117755411).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2221774 + ... + 2221826.

It is an arithmetic number, because the mean of its divisors is an integer number (1542870).

Almost surely, 2^117755400 is an apocalyptic number.

117755400 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 117755400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222173280).

117755400 is an abundant number, since it is smaller than the sum of its proper divisors (326591160).

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

117755400 is a wasteful number, since it uses less digits than its factorization.

117755400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 117755400 is about 10851.5160231186. The cubic root of 117755400 is about 490.1476717209.

The spelling of 117755400 in words is "one hundred seventeen million, seven hundred fifty-five thousand, four hundred".