116578800 has 360 divisors, whose sum is σ = 453345984. Its totient is φ = 27555840.

The previous prime is 116578793. The next prime is 116578829. The reversal of 116578800 is 8875611.

116578800 is a `hidden beast` number, since 1 + 1 + 6 + 578 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×116578800³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2199574 + ... + 2199626.

Almost surely, 2^116578800 is an apocalyptic number.

116578800 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 116578800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226672992).

116578800 is an abundant number, since it is smaller than the sum of its proper divisors (336767184).

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

116578800 is a wasteful number, since it uses less digits than its factorization.

116578800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

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

The square root of 116578800 is about 10797.1662949128. The cubic root of 116578800 is about 488.5097021492.

The spelling of 116578800 in words is "one hundred sixteen million, five hundred seventy-eight thousand, eight hundred".