112784760 has 192 divisors, whose sum is σ = 421200000. Its totient is φ = 25885440.

The previous prime is 112784731. The next prime is 112784767. The reversal of 112784760 is 67487211.

112784760 is a `hidden beast` number, since 112 + 78 + 476 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112784767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74491 + ... + 75989.

It is an arithmetic number, because the mean of its divisors is an integer number (2193750).

Almost surely, 2^112784760 is an apocalyptic number.

112784760 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 112784760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210600000).

112784760 is an abundant number, since it is smaller than the sum of its proper divisors (308415240).

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

112784760 is a wasteful number, since it uses less digits than its factorization.

112784760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 112784760 is about 10620.0169491390. The cubic root of 112784760 is about 483.1516569145.

The spelling of 112784760 in words is "one hundred twelve million, seven hundred eighty-four thousand, seven hundred sixty".