117780480 has 260 divisors, whose sum is σ = 428159952. Its totient is φ = 30965760.

The previous prime is 117780473. The next prime is 117780511. The reversal of 117780480 is 84087711.

117780480 is a `hidden beast` number, since 1 + 177 + 8 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1658845 + ... + 1658915.

Almost surely, 2^117780480 is an apocalyptic number.

117780480 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 117780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214079976).

117780480 is an abundant number, since it is smaller than the sum of its proper divisors (310379472).

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

117780480 is an frugal number, since it uses more digits than its factorization.

117780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 117780480 is about 10852.6715604961. The cubic root of 117780480 is about 490.1824670990.

The spelling of 117780480 in words is "one hundred seventeen million, seven hundred eighty thousand, four hundred eighty".