115797600 has 180 divisors, whose sum is σ = 422527644. Its totient is φ = 30862080.

The previous prime is 115797599. The next prime is 115797601. The reversal of 115797600 is 6797511.

115797600 is a `hidden beast` number, since 11 + 579 + 76 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115797599) and next prime (115797601).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115797601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63907 + ... + 65693.

Almost surely, 2^115797600 is an apocalyptic number.

115797600 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 115797600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211263822).

115797600 is an abundant number, since it is smaller than the sum of its proper divisors (306730044).

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

115797600 is a wasteful number, since it uses less digits than its factorization.

115797600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 115797600 is about 10760.9293278973. The cubic root of 115797600 is about 487.4160802292.

The spelling of 115797600 in words is "one hundred fifteen million, seven hundred ninety-seven thousand, six hundred".