1277792256 has 208 divisors, whose sum is σ = 3871394240. Its totient is φ = 371589120.

The previous prime is 1277792239. The next prime is 1277792273. The reversal of 1277792256 is 6522977721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1277792239) and next prime (1277792273).

It is a tau number, because it is divible by the number of its divisors (208).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3034926 + ... + 3035346.

Almost surely, 2^1277792256 is an apocalyptic number.

1277792256 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 1277792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935697120).

1277792256 is an abundant number, since it is smaller than the sum of its proper divisors (2593601984).

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

1277792256 is a wasteful number, since it uses less digits than its factorization.

1277792256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 458 counting only the distinct ones).

The product of its digits is 740880, while the sum is 48.

The square root of 1277792256 is about 35746.2201638159. The cubic root of 1277792256 is about 1085.1424437278.

The spelling of 1277792256 in words is "one billion, two hundred seventy-seven million, seven hundred ninety-two thousand, two hundred fifty-six".