112807680 has 144 divisors (see below), whose sum is σ = 373070880. Its totient is φ = 29016064.

The previous prime is 112807679. The next prime is 112807753. The reversal of 112807680 is 86708211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110854 + ... + 111866.

It is an arithmetic number, because the mean of its divisors is an integer number (2590770).

Almost surely, 2^112807680 is an apocalyptic number.

112807680 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 112807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186535440).

112807680 is an abundant number, since it is smaller than the sum of its proper divisors (260263200).

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

112807680 is a wasteful number, since it uses less digits than its factorization.

112807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 112807680 is about 10621.0959886445. The cubic root of 112807680 is about 483.1843832211.

The spelling of 112807680 in words is "one hundred twelve million, eight hundred seven thousand, six hundred eighty".