117768000 has 224 divisors, whose sum is σ = 445056768. Its totient is φ = 26880000.

The previous prime is 117767999. The next prime is 117768011. The reversal of 117768000 is 867711.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 167650 + ... + 168350.

Almost surely, 2^117768000 is an apocalyptic number.

117768000 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 117768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222528384).

117768000 is an abundant number, since it is smaller than the sum of its proper divisors (327288768).

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

117768000 is an equidigital number, since it uses as much as digits as its factorization.

117768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 117768000 is about 10852.0965716308. The cubic root of 117768000 is about 490.1651532700.

The spelling of 117768000 in words is "one hundred seventeen million, seven hundred sixty-eight thousand".