116782300800 has 1536 divisors, whose sum is σ = 496580716800. Its totient is φ = 26873856000.

The previous prime is 116782300673. The next prime is 116782300801. The reversal of 116782300800 is 8003287611.

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

It is not an unprimeable number, because it can be changed into a prime (116782300801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2848348780 + ... + 2848348820.

Almost surely, 2^116782300800 is an apocalyptic number.

116782300800 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 116782300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248290358400).

116782300800 is an abundant number, since it is smaller than the sum of its proper divisors (379798416000).

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

116782300800 is an equidigital number, since it uses as much as digits as its factorization.

116782300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 116782300800 in words is "one hundred sixteen billion, seven hundred eighty-two million, three hundred thousand, eight hundred".