115082800 has 120 divisors (see below), whose sum is σ = 329907456. Its totient is φ = 37720320.

The previous prime is 115082789. The next prime is 115082813. The reversal of 115082800 is 8280511.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63507 + ... + 65293.

Almost surely, 2^115082800 is an apocalyptic number.

115082800 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 115082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164953728).

115082800 is an abundant number, since it is smaller than the sum of its proper divisors (214824656).

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

115082800 is a wasteful number, since it uses less digits than its factorization.

115082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 115082800 is about 10727.6651700172. The cubic root of 115082800 is about 486.4110957692.

The spelling of 115082800 in words is "one hundred fifteen million, eighty-two thousand, eight hundred".