127677720 has 128 divisors (see below), whose sum is σ = 417312000. Its totient is φ = 31127040.

The previous prime is 127677677. The next prime is 127677727. The reversal of 127677720 is 27776721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127677727) 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 31 ways as a sum of consecutive naturals, for example, 65155 + ... + 67085.

It is an arithmetic number, because the mean of its divisors is an integer number (3260250).

Almost surely, 2^127677720 is an apocalyptic number.

127677720 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 127677720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208656000).

127677720 is an abundant number, since it is smaller than the sum of its proper divisors (289634280).

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

127677720 is a wasteful number, since it uses less digits than its factorization.

127677720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 39.

The square root of 127677720 is about 11299.4566241037. The cubic root of 127677720 is about 503.5450984818.

Subtracting from 127677720 its reverse (27776721), we obtain a palindrome (99900999).

The spelling of 127677720 in words is "one hundred twenty-seven million, six hundred seventy-seven thousand, seven hundred twenty".