112779360 has 216 divisors, whose sum is σ = 410338656. Its totient is φ = 28200960.

The previous prime is 112779323. The next prime is 112779361. The reversal of 112779360 is 63977211.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112779361) 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, 416025 + ... + 416295.

It is an arithmetic number, because the mean of its divisors is an integer number (1899716).

Almost surely, 2^112779360 is an apocalyptic number.

112779360 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 112779360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205169328).

112779360 is an abundant number, since it is smaller than the sum of its proper divisors (297559296).

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

112779360 is a wasteful number, since it uses less digits than its factorization.

112779360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 112779360 is about 10619.7627092134. The cubic root of 112779360 is about 483.1439458828.

The spelling of 112779360 in words is "one hundred twelve million, seven hundred seventy-nine thousand, three hundred sixty".