1277075140 has 72 divisors (see below), whose sum is σ = 2988621720. Its totient is φ = 457966080.

The previous prime is 1277075113. The next prime is 1277075153. The reversal of 1277075140 is 415707721.

It can be written as a sum of positive squares in 4 ways, for example, as 561405636 + 715669504 = 23694^2 + 26752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1277075096 and 1277075105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173046 + ... + 180274.

It is an arithmetic number, because the mean of its divisors is an integer number (41508635).

Almost surely, 2^1277075140 is an apocalyptic number.

1277075140 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 1277075140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494310860).

1277075140 is an abundant number, since it is smaller than the sum of its proper divisors (1711546580).

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

1277075140 is a wasteful number, since it uses less digits than its factorization.

1277075140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333 (or 7320 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 34.

The square root of 1277075140 is about 35736.1881011392. The cubic root of 1277075140 is about 1084.9394063863.

The spelling of 1277075140 in words is "one billion, two hundred seventy-seven million, seventy-five thousand, one hundred forty".