112770768 has 80 divisors (see below), whose sum is σ = 325264896. Its totient is φ = 33371520.

The previous prime is 112770767. The next prime is 112770773. The reversal of 112770768 is 867077211.

It is a super-2 number, since 2×112770768² = 25434492230619648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112770767) 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, 20221 + ... + 25187.

Almost surely, 2^112770768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112770768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162632448).

112770768 is an abundant number, since it is smaller than the sum of its proper divisors (212494128).

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

112770768 is a wasteful number, since it uses less digits than its factorization.

112770768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5032 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

The square root of 112770768 is about 10619.3581726957. The cubic root of 112770768 is about 483.1316762671.

The spelling of 112770768 in words is "one hundred twelve million, seven hundred seventy thousand, seven hundred sixty-eight".