112776960 has 144 divisors (see below), whose sum is σ = 369097344. Its totient is φ = 29331456.

The previous prime is 112776947. The next prime is 112776967. The reversal of 112776960 is 69677211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112776967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164779 + ... + 165461.

It is an arithmetic number, because the mean of its divisors is an integer number (2563176).

Almost surely, 2^112776960 is an apocalyptic number.

112776960 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 112776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184548672).

112776960 is an abundant number, since it is smaller than the sum of its proper divisors (256320384).

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

112776960 is an equidigital number, since it uses as much as digits as its factorization.

112776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 112776960 is about 10619.6497117372. The cubic root of 112776960 is about 483.1405186785.

It can be divided in two parts, 1127 and 76960, that added together give a palindrome (78087).

The spelling of 112776960 in words is "one hundred twelve million, seven hundred seventy-six thousand, nine hundred sixty".