115420800 has 192 divisors, whose sum is σ = 415107360. Its totient is φ = 27955200.

The previous prime is 115420787. The next prime is 115420813. The reversal of 115420800 is 8024511.

It is an interprime number because it is at equal distance from previous prime (115420787) and next prime (115420813).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×115420800² = 26643922145280000, which contains 22 as substring.

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, 105054 + ... + 106146.

Almost surely, 2^115420800 is an apocalyptic number.

115420800 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 115420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207553680).

115420800 is an abundant number, since it is smaller than the sum of its proper divisors (299686560).

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

115420800 is a wasteful number, since it uses less digits than its factorization.

115420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 115420800 is about 10743.4072807466. The cubic root of 115420800 is about 486.8868293489.

The spelling of 115420800 in words is "one hundred fifteen million, four hundred twenty thousand, eight hundred".