115800 has 48 divisors (see below), whose sum is σ = 360840. Its totient is φ = 30720.

The previous prime is 115793. The next prime is 115807. The reversal of 115800 is 8511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115793) and next prime (115807).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 115800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115807) by changing a digit.

115800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504 + ... + 696.

2¹¹⁵⁸⁰⁰ is an apocalyptic number.

115800 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 115800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180420).

115800 is an abundant number, since it is smaller than the sum of its proper divisors (245040).

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

115800 is a wasteful number, since it uses less digits than its factorization.

115800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 115800 is about 340.2939905435. The cubic root of 115800 is about 48.7419447572.

The spelling of 115800 in words is "one hundred fifteen thousand, eight hundred".