116000800 has 72 divisors (see below), whose sum is σ = 286762896. Its totient is φ = 45815040.

The previous prime is 116000701. The next prime is 116000803. The reversal of 116000800 is 8000611.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (116000803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65527 + ... + 67273.

It is an arithmetic number, because the mean of its divisors is an integer number (3982818).

Almost surely, 2^116000800 is an apocalyptic number.

116000800 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 116000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143381448).

116000800 is an abundant number, since it is smaller than the sum of its proper divisors (170762096).

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

116000800 is a wasteful number, since it uses less digits than its factorization.

116000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 116000800 is about 10770.3667532726. The cubic root of 116000800 is about 487.7010172539.

The spelling of 116000800 in words is "one hundred sixteen million, eight hundred", and thus it is an aban number.