115768800 has 216 divisors, whose sum is σ = 466751376. Its totient is φ = 26449920.

The previous prime is 115768799. The next prime is 115768811. The reversal of 115768800 is 8867511.

115768800 is a `hidden beast` number, since 1 + 1 + 576 + 8 + 80 + 0 = 666.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49252 + ... + 51548.

It is an arithmetic number, because the mean of its divisors is an integer number (2160886).

Almost surely, 2^115768800 is an apocalyptic number.

115768800 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 115768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233375688).

115768800 is an abundant number, since it is smaller than the sum of its proper divisors (350982576).

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

115768800 is a wasteful number, since it uses less digits than its factorization.

115768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2314 counting only the distinct ones).

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

The square root of 115768800 is about 10759.5910702963. The cubic root of 115768800 is about 487.3756684906.

The spelling of 115768800 in words is "one hundred fifteen million, seven hundred sixty-eight thousand, eight hundred".