117768 has 32 divisors (see below), whose sum is σ = 336960. Its totient is φ = 33600.

The previous prime is 117763. The next prime is 117773. The reversal of 117768 is 867711.

It is an interprime number because it is at equal distance from previous prime (117763) and next prime (117773).

It is a nude number because it is divisible by every one of its digits.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

117768 is a Friedman number, since it can be written as 17*7+(8-1)^6, using all its digits and the basic arithmetic operations.

2¹¹⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

117768 is an abundant number, since it is smaller than the sum of its proper divisors (219192).

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

117768 is a wasteful number, since it uses less digits than its factorization.

117768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 713 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

The square root of 117768 is about 343.1734255446. The cubic root of 117768 is about 49.0165153270.

The spelling of 117768 in words is "one hundred seventeen thousand, seven hundred sixty-eight".