115807680 has 168 divisors, whose sum is σ = 404164800. Its totient is φ = 30431232.

The previous prime is 115807673. The next prime is 115807697. The reversal of 115807680 is 86708511.

115807680 is a `hidden beast` number, since 1 + 1 + 580 + 76 + 8 + 0 = 666.

It is a super-2 number, since 2×115807680² = 26822837493964800, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 227266 + ... + 227774.

Almost surely, 2^115807680 is an apocalyptic number.

115807680 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 115807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202082400).

115807680 is an abundant number, since it is smaller than the sum of its proper divisors (288357120).

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

115807680 is a wasteful number, since it uses less digits than its factorization.

115807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 115807680 is about 10761.3976787404. The cubic root of 115807680 is about 487.4302227547.

The spelling of 115807680 in words is "one hundred fifteen million, eight hundred seven thousand, six hundred eighty".