117733280 has 72 divisors (see below), whose sum is σ = 323577828. Its totient is φ = 40363008.

The previous prime is 117733267. The next prime is 117733289. The reversal of 117733280 is 82337711.

It can be written as a sum of positive squares in 2 ways, for example, as 115004176 + 2729104 = 10724^2 + 1652^2 .

It is a super-2 number, since 2×117733280² = 27722250439116800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (117733289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332 + ... + 15348.

Almost surely, 2^117733280 is an apocalyptic number.

117733280 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 117733280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161788914).

117733280 is an abundant number, since it is smaller than the sum of its proper divisors (205844548).

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

117733280 is a wasteful number, since it uses less digits than its factorization.

117733280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15046 (or 15031 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 117733280 is about 10850.4967628215. The cubic root of 117733280 is about 490.1169788739.

The spelling of 117733280 in words is "one hundred seventeen million, seven hundred thirty-three thousand, two hundred eighty".