1276884672 has 112 divisors (see below), whose sum is σ = 3884858880. Its totient is φ = 362575872.

The previous prime is 1276884649. The next prime is 1276884733. The reversal of 1276884672 is 2764886721.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1276884672³ (a number of 28 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 221604 + ... + 227292.

It is an arithmetic number, because the mean of its divisors is an integer number (34686240).

Almost surely, 2^1276884672 is an apocalyptic number.

1276884672 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 1276884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942429440).

1276884672 is an abundant number, since it is smaller than the sum of its proper divisors (2607974208).

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

1276884672 is a wasteful number, since it uses less digits than its factorization.

1276884672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5868 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 1276884672 is about 35733.5230840733. The cubic root of 1276884672 is about 1084.8854663304.

The spelling of 1276884672 in words is "one billion, two hundred seventy-six million, eight hundred eighty-four thousand, six hundred seventy-two".