117678080 has 168 divisors, whose sum is σ = 323793612. Its totient is φ = 40894464.

The previous prime is 117678061. The next prime is 117678091. The reversal of 117678080 is 80876711.

It can be written as a sum of positive squares in 6 ways, for example, as 24285184 + 93392896 = 4928^2 + 9664^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6922232 + ... + 6922248.

Almost surely, 2^117678080 is an apocalyptic number.

117678080 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 117678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161896806).

117678080 is an abundant number, since it is smaller than the sum of its proper divisors (206115532).

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

117678080 is an equidigital number, since it uses as much as digits as its factorization.

117678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 38.

The square root of 117678080 is about 10847.9528022572. The cubic root of 117678080 is about 490.0403687413.

The spelling of 117678080 in words is "one hundred seventeen million, six hundred seventy-eight thousand, eighty".