1276084992 has 432 divisors, whose sum is σ = 4546510080. Its totient is φ = 308551680.

The previous prime is 1276084967. The next prime is 1276085003. The reversal of 1276084992 is 2994806721.

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 47 ways as a sum of consecutive naturals, for example, 41164017 + ... + 41164047.

Almost surely, 2^1276084992 is an apocalyptic number.

1276084992 is a gapful number since it is divisible by the number (12) 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 1276084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273255040).

1276084992 is an abundant number, since it is smaller than the sum of its proper divisors (3270425088).

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

1276084992 is a wasteful number, since it uses less digits than its factorization.

1276084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1276084992 is about 35722.3318387812. The cubic root of 1276084992 is about 1084.6589404214.

The spelling of 1276084992 in words is "one billion, two hundred seventy-six million, eighty-four thousand, nine hundred ninety-two".