112780695760 has 80 divisors (see below), whose sum is σ = 270771098112. Its totient is φ = 43641331200.

The previous prime is 112780695751. The next prime is 112780695763. The reversal of 112780695760 is 67596087211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112780695760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112780695698 and 112780695707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112780695763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8790150 + ... + 8802970.

Almost surely, 2^112780695760 is an apocalyptic number.

112780695760 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 112780695760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135385549056).

112780695760 is an abundant number, since it is smaller than the sum of its proper divisors (157990402352).

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

112780695760 is a wasteful number, since it uses less digits than its factorization.

112780695760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16412 (or 16406 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 52.

The spelling of 112780695760 in words is "one hundred twelve billion, seven hundred eighty million, six hundred ninety-five thousand, seven hundred sixty".