1277346816 has 264 divisors, whose sum is σ = 4046575104. Its totient is φ = 386334720.

The previous prime is 1277346751. The next prime is 1277346821. The reversal of 1277346816 is 6186437721.

It is a super-2 number, since 2×1277346816² = 3263229776690675712, which contains 22 as substring.

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, 4856701 + ... + 4856963.

It is an arithmetic number, because the mean of its divisors is an integer number (15327936).

Almost surely, 2^1277346816 is an apocalyptic number.

1277346816 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 1277346816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023287552).

1277346816 is an abundant number, since it is smaller than the sum of its proper divisors (2769228288).

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

1277346816 is a wasteful number, since it uses less digits than its factorization.

1277346816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1277346816 is about 35739.9890318954. The cubic root of 1277346816 is about 1085.0163350624.

The spelling of 1277346816 in words is "one billion, two hundred seventy-seven million, three hundred forty-six thousand, eight hundred sixteen".