127777312 has 48 divisors (see below), whose sum is σ = 272569752. Its totient is φ = 58613760.

The previous prime is 127777283. The next prime is 127777339. The reversal of 127777312 is 213777721.

It can be written as a sum of positive squares in 4 ways, for example, as 83101456 + 44675856 = 9116^2 + 6684^2 .

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, 74448 + ... + 76144.

Almost surely, 2^127777312 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 127777312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136284876).

127777312 is an abundant number, since it is smaller than the sum of its proper divisors (144792440).

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

127777312 is a wasteful number, since it uses less digits than its factorization.

127777312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1893 counting only the distinct ones).

The product of its digits is 28812, while the sum is 37.

The square root of 127777312 is about 11303.8627026340. The cubic root of 127777312 is about 503.6759906215.

The spelling of 127777312 in words is "one hundred twenty-seven million, seven hundred seventy-seven thousand, three hundred twelve".