117797760 has 256 divisors, whose sum is σ = 442843200. Its totient is φ = 29491200.

The previous prime is 117797753. The next prime is 117797767. The reversal of 117797760 is 67797711.

It is an interprime number because it is at equal distance from previous prime (117797753) and next prime (117797767).

It is a super-2 number, since 2×117797760² = 27752624522035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117797767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293560 + ... + 293960.

Almost surely, 2^117797760 is an apocalyptic number.

117797760 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 117797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221421600).

117797760 is an abundant number, since it is smaller than the sum of its proper divisors (325045440).

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

117797760 is a wasteful number, since it uses less digits than its factorization.

117797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 129654, while the sum is 45.

The square root of 117797760 is about 10853.4676486365. The cubic root of 117797760 is about 490.2064380740.

The spelling of 117797760 in words is "one hundred seventeen million, seven hundred ninety-seven thousand, seven hundred sixty".