127807768 has 64 divisors (see below), whose sum is σ = 284407200. Its totient is φ = 53176320.

The previous prime is 127807763. The next prime is 127807777. The reversal of 127807768 is 867708721.

It is a super-2 number, since 2×127807768² = 32669651122283648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127807763) 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, 54198 + ... + 56506.

Almost surely, 2^127807768 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 127807768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142203600).

127807768 is an abundant number, since it is smaller than the sum of its proper divisors (156599432).

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

127807768 is a wasteful number, since it uses less digits than its factorization.

127807768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 46.

The square root of 127807768 is about 11305.2097724898. The cubic root of 127807768 is about 503.7160048648.

The spelling of 127807768 in words is "one hundred twenty-seven million, eight hundred seven thousand, seven hundred sixty-eight".