127777216 has 56 divisors (see below), whose sum is σ = 291307520. Its totient is φ = 54473472.

The previous prime is 127777201. The next prime is 127777267. The reversal of 127777216 is 612777721.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99265 + ... + 100543.

It is an arithmetic number, because the mean of its divisors is an integer number (5201920).

Almost surely, 2^127777216 is an apocalyptic number.

127777216 is a gapful number since it is divisible by the number (16) 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 127777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145653760).

127777216 is an abundant number, since it is smaller than the sum of its proper divisors (163530304).

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

127777216 is a wasteful number, since it uses less digits than its factorization.

127777216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1511 counting only the distinct ones).

The product of its digits is 57624, while the sum is 40.

The square root of 127777216 is about 11303.8584562971. The cubic root of 127777216 is about 503.6758644830.

The spelling of 127777216 in words is "one hundred twenty-seven million, seven hundred seventy-seven thousand, two hundred sixteen".