115756080 has 160 divisors (see below), whose sum is σ = 395331840. Its totient is φ = 27786240.

The previous prime is 115756073. The next prime is 115756087. The reversal of 115756080 is 80657511.

It is a Cunningham number, because it is equal to 10759²-1.

It is an interprime number because it is at equal distance from previous prime (115756073) and next prime (115756087).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115756087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430186 + ... + 430454.

It is an arithmetic number, because the mean of its divisors is an integer number (2470824).

Almost surely, 2^115756080 is an apocalyptic number.

115756080 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 115756080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197665920).

115756080 is an abundant number, since it is smaller than the sum of its proper divisors (279575760).

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

115756080 is a wasteful number, since it uses less digits than its factorization.

115756080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 115756080 is about 10758.9999535273. Note that the first 4 decimals coincide. The cubic root of 115756080 is about 487.3578178389.

The spelling of 115756080 in words is "one hundred fifteen million, seven hundred fifty-six thousand, eighty".