1280884752 has 200 divisors, whose sum is σ = 4260655872. Its totient is φ = 363916800.

The previous prime is 1280884751. The next prime is 1280884769. The reversal of 1280884752 is 2574880821.

It is a happy number.

It is a super-2 number, since 2×1280884752² = 3281331495812203008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1280884698 and 1280884707.

It is not an unprimeable number, because it can be changed into a prime (1280884751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2458252 + ... + 2458772.

Almost surely, 2^1280884752 is an apocalyptic number.

1280884752 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 1280884752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130327936).

1280884752 is an abundant number, since it is smaller than the sum of its proper divisors (2979771120).

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

1280884752 is a wasteful number, since it uses less digits than its factorization.

1280884752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1280884752 is about 35789.4502891564. The cubic root of 1280884752 is about 1086.0171542725.

The spelling of 1280884752 in words is "one billion, two hundred eighty million, eight hundred eighty-four thousand, seven hundred fifty-two".