112778400 has 288 divisors, whose sum is σ = 431222400. Its totient is φ = 25589760.

The previous prime is 112778399. The next prime is 112778411. The reversal of 112778400 is 4877211.

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

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 47 ways as a sum of consecutive naturals, for example, 823132 + ... + 823268.

It is an arithmetic number, because the mean of its divisors is an integer number (1497300).

Almost surely, 2^112778400 is an apocalyptic number.

112778400 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 112778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215611200).

112778400 is an abundant number, since it is smaller than the sum of its proper divisors (318444000).

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

112778400 is a wasteful number, since it uses less digits than its factorization.

112778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 112778400 is about 10619.7175103672. The cubic root of 112778400 is about 483.1425750069.

The spelling of 112778400 in words is "one hundred twelve million, seven hundred seventy-eight thousand, four hundred".