117278880 has 96 divisors (see below), whose sum is σ = 374601024. Its totient is φ = 30836736.

The previous prime is 117278873. The next prime is 117278891. The reversal of 117278880 is 88872711.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 33367 + ... + 36713.

It is an arithmetic number, because the mean of its divisors is an integer number (3902094).

Almost surely, 2^117278880 is an apocalyptic number.

117278880 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 117278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187300512).

117278880 is an abundant number, since it is smaller than the sum of its proper divisors (257322144).

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

117278880 is a wasteful number, since it uses less digits than its factorization.

117278880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 42.

The square root of 117278880 is about 10829.5373862414. The cubic root of 117278880 is about 489.4856187584.

The spelling of 117278880 in words is "one hundred seventeen million, two hundred seventy-eight thousand, eight hundred eighty".