112780800 has 360 divisors, whose sum is σ = 445250520. Its totient is φ = 27033600.

The previous prime is 112780769. The next prime is 112780807. The reversal of 112780800 is 8087211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112780807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1267156 + ... + 1267244.

It is an arithmetic number, because the mean of its divisors is an integer number (1236807).

Almost surely, 2^112780800 is an apocalyptic number.

112780800 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 112780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222625260).

112780800 is an abundant number, since it is smaller than the sum of its proper divisors (332469720).

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

112780800 is a wasteful number, since it uses less digits than its factorization.

112780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 112780800 is about 10619.8305071220. The cubic root of 112780800 is about 483.1460021820.

The spelling of 112780800 in words is "one hundred twelve million, seven hundred eighty thousand, eight hundred".