117780 has 48 divisors (see below), whose sum is σ = 357504. Its totient is φ = 28800.

The previous prime is 117779. The next prime is 117787. The reversal of 117780 is 87711.

It is a self number, because there is not a number n which added to its sum of digits gives 117780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2¹¹⁷⁷⁸⁰ is an apocalyptic number.

117780 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 117780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178752).

117780 is an abundant number, since it is smaller than the sum of its proper divisors (239724).

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

117780 is a wasteful number, since it uses less digits than its factorization.

117780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

The square root of 117780 is about 343.1909089705. The cubic root of 117780 is about 49.0181801205.

The spelling of 117780 in words is "one hundred seventeen thousand, seven hundred eighty".