116076800 has 108 divisors (see below), whose sum is σ = 328478976. Its totient is φ = 39782400.

The previous prime is 116076761. The next prime is 116076809. The reversal of 116076800 is 8670611.

It is not an unprimeable number, because it can be changed into a prime (116076809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 43505 + ... + 46095.

It is an arithmetic number, because the mean of its divisors is an integer number (3041472).

Almost surely, 2^116076800 is an apocalyptic number.

116076800 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 116076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164239488).

116076800 is an abundant number, since it is smaller than the sum of its proper divisors (212402176).

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

116076800 is an equidigital number, since it uses as much as digits as its factorization.

116076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 116076800 is about 10773.8943748303. The cubic root of 116076800 is about 487.8075026851.

The spelling of 116076800 in words is "one hundred sixteen million, seventy-six thousand, eight hundred".