116782800 has 120 divisors (see below), whose sum is σ = 376496736. Its totient is φ = 30942720.

The previous prime is 116782789. The next prime is 116782807. The reversal of 116782800 is 8287611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116782807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368242 + ... + 368558.

Almost surely, 2^116782800 is an apocalyptic number.

116782800 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 116782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188248368).

116782800 is an abundant number, since it is smaller than the sum of its proper divisors (259713936).

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

116782800 is a wasteful number, since it uses less digits than its factorization.

116782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 116782800 is about 10806.6090888863. The cubic root of 116782800 is about 488.7944820769.

The spelling of 116782800 in words is "one hundred sixteen million, seven hundred eighty-two thousand, eight hundred".