117766880 has 192 divisors, whose sum is σ = 354170880. Its totient is φ = 36241920.

The previous prime is 117766879. The next prime is 117766889. The reversal of 117766880 is 88667711.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117766889) by changing a digit.

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, 1490681 + ... + 1490759.

It is an arithmetic number, because the mean of its divisors is an integer number (1844640).

Almost surely, 2^117766880 is an apocalyptic number.

117766880 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 117766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177085440).

117766880 is an abundant number, since it is smaller than the sum of its proper divisors (236404000).

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

117766880 is an equidigital number, since it uses as much as digits as its factorization.

117766880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The square root of 117766880 is about 10852.0449685762. The cubic root of 117766880 is about 490.1635994050.

The spelling of 117766880 in words is "one hundred seventeen million, seven hundred sixty-six thousand, eight hundred eighty".