112790880 has 168 divisors, whose sum is σ = 399933072. Its totient is φ = 30046464.

The previous prime is 112790861. The next prime is 112790917. The reversal of 112790880 is 88097211.

It is a super-2 number, since 2×112790880² = 25443565222348800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116157 + ... + 117123.

It is an arithmetic number, because the mean of its divisors is an integer number (2380554).

Almost surely, 2^112790880 is an apocalyptic number.

112790880 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 112790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199966536).

112790880 is an abundant number, since it is smaller than the sum of its proper divisors (287142192).

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

112790880 is an frugal number, since it uses more digits than its factorization.

112790880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 112790880 is about 10620.3050803637. The cubic root of 112790880 is about 483.1603957862.

The spelling of 112790880 in words is "one hundred twelve million, seven hundred ninety thousand, eight hundred eighty".