116792400 has 60 divisors (see below), whose sum is σ = 374128832. Its totient is φ = 31144320.

The previous prime is 116792399. The next prime is 116792419. The reversal of 116792400 is 4297611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47464 + ... + 49863.

Almost surely, 2^116792400 is an apocalyptic number.

116792400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116792400 is an abundant number, since it is smaller than the sum of its proper divisors (257336432).

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

116792400 is a wasteful number, since it uses less digits than its factorization.

116792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97348 (or 97337 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 116792400 is about 10807.0532523903. The cubic root of 116792400 is about 488.8078753119.

The spelling of 116792400 in words is "one hundred sixteen million, seven hundred ninety-two thousand, four hundred".