117905760 has 288 divisors, whose sum is σ = 480906720. Its totient is φ = 26901504.

The previous prime is 117905759. The next prime is 117905771. The reversal of 117905760 is 67509711.

117905760 is a `hidden beast` number, since 11 + 79 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211402 + ... + 211958.

It is an arithmetic number, because the mean of its divisors is an integer number (1669815).

Almost surely, 2^117905760 is an apocalyptic number.

117905760 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 117905760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240453360).

117905760 is an abundant number, since it is smaller than the sum of its proper divisors (363000960).

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

117905760 is a wasteful number, since it uses less digits than its factorization.

117905760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 117905760 is about 10858.4418771756. The cubic root of 117905760 is about 490.3562035815.

The spelling of 117905760 in words is "one hundred seventeen million, nine hundred five thousand, seven hundred sixty".