116785800 has 216 divisors, whose sum is σ = 411845850. Its totient is φ = 30792960.

The previous prime is 116785763. The next prime is 116785817. The reversal of 116785800 is 8587611.

116785800 is a `hidden beast` number, since 1 + 1 + 6 + 78 + 580 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 68260644 + 48525156 = 8262^2 + 6966^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 53 ways as a sum of consecutive naturals, for example, 1312156 + ... + 1312244.

Almost surely, 2^116785800 is an apocalyptic number.

116785800 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 116785800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205922925).

116785800 is an abundant number, since it is smaller than the sum of its proper divisors (295060050).

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

116785800 is an frugal number, since it uses more digits than its factorization.

116785800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 116785800 is about 10806.7478919423. The cubic root of 116785800 is about 488.7986675416.

The spelling of 116785800 in words is "one hundred sixteen million, seven hundred eighty-five thousand, eight hundred".