1277168256 has 512 divisors, whose sum is σ = 4825497600. Its totient is φ = 323481600.

The previous prime is 1277168237. The next prime is 1277168267. The reversal of 1277168256 is 6528617721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9749311 + ... + 9749441.

It is an arithmetic number, because the mean of its divisors is an integer number (9424800).

Almost surely, 2^1277168256 is an apocalyptic number.

1277168256 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 1277168256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412748800).

1277168256 is an abundant number, since it is smaller than the sum of its proper divisors (3548329344).

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

1277168256 is a wasteful number, since it uses less digits than its factorization.

1277168256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 187 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 1277168256 is about 35737.4909024123. The cubic root of 1277168256 is about 1084.9657746501.

The spelling of 1277168256 in words is "one billion, two hundred seventy-seven million, one hundred sixty-eight thousand, two hundred fifty-six".