117002760 has 128 divisors (see below), whose sum is σ = 422323200. Its totient is φ = 25332480.

The previous prime is 117002759. The next prime is 117002777. The reversal of 117002760 is 67200711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 117002760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12295 + ... + 19625.

It is an arithmetic number, because the mean of its divisors is an integer number (3299400).

Almost surely, 2^117002760 is an apocalyptic number.

117002760 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 117002760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211161600).

117002760 is an abundant number, since it is smaller than the sum of its proper divisors (305320440).

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

117002760 is a wasteful number, since it uses less digits than its factorization.

117002760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7371 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 117002760 is about 10816.7814066847. The cubic root of 117002760 is about 489.1011705141.

The spelling of 117002760 in words is "one hundred seventeen million, two thousand, seven hundred sixty".