127760112 has 80 divisors (see below), whose sum is σ = 376677280. Its totient is φ = 41430528.

The previous prime is 127760093. The next prime is 127760119. The reversal of 127760112 is 211067721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127760119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11988 + ... + 19980.

It is an arithmetic number, because the mean of its divisors is an integer number (4708466).

Almost surely, 2^127760112 is an apocalyptic number.

127760112 is a gapful number since it is divisible by the number (12) 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 127760112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188338640).

127760112 is an abundant number, since it is smaller than the sum of its proper divisors (248917168).

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

127760112 is a wasteful number, since it uses less digits than its factorization.

127760112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047 (or 8035 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 127760112 is about 11303.1018751491. The cubic root of 127760112 is about 503.6533898023.

The spelling of 127760112 in words is "one hundred twenty-seven million, seven hundred sixty thousand, one hundred twelve".