117760 has 44 divisors (see below), whose sum is σ = 294768. Its totient is φ = 45056.

The previous prime is 117757. The next prime is 117763. The reversal of 117760 is 67711.

It is an interprime number because it is at equal distance from previous prime (117757) and next prime (117763).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (117763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5109 + ... + 5131.

2¹¹⁷⁷⁶⁰ is an apocalyptic number.

117760 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 117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147384).

117760 is an abundant number, since it is smaller than the sum of its proper divisors (177008).

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

117760 is an equidigital number, since it uses as much as digits as its factorization.

117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 117760 is about 343.1617694324. The cubic root of 117760 is about 49.0154054018.

The spelling of 117760 in words is "one hundred seventeen thousand, seven hundred sixty".