112779920 has 40 divisors (see below), whose sum is σ = 286053120. Its totient is φ = 41010560.

The previous prime is 112779917. The next prime is 112779929. The reversal of 112779920 is 29977211.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (112779929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63200 + ... + 64959.

It is an arithmetic number, because the mean of its divisors is an integer number (7151328).

Almost surely, 2^112779920 is an apocalyptic number.

112779920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112779920 is an abundant number, since it is smaller than the sum of its proper divisors (173273200).

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

112779920 is a wasteful number, since it uses less digits than its factorization.

112779920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128183 (or 128177 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 38.

The square root of 112779920 is about 10619.7890751182. The cubic root of 112779920 is about 483.1447455568.

The spelling of 112779920 in words is "one hundred twelve million, seven hundred seventy-nine thousand, nine hundred twenty".