115756480 has 112 divisors (see below), whose sum is σ = 325380096. Its totient is φ = 38384640.

The previous prime is 115756469. The next prime is 115756517. The reversal of 115756480 is 84657511.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68607 + ... + 70273.

Almost surely, 2^115756480 is an apocalyptic number.

115756480 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 115756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162690048).

115756480 is an abundant number, since it is smaller than the sum of its proper divisors (209623616).

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

115756480 is a wasteful number, since it uses less digits than its factorization.

115756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 115756480 is about 10759.0185425995. The cubic root of 115756480 is about 487.3583792000.

The spelling of 115756480 in words is "one hundred fifteen million, seven hundred fifty-six thousand, four hundred eighty".