1280508768 has 432 divisors, whose sum is σ = 4725813456. Its totient is φ = 325140480.

The previous prime is 1280508763. The next prime is 1280508791. The reversal of 1280508768 is 8678050821.

1280508768 is a `hidden beast` number, since 1 + 2 + 80 + 508 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1280508763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11331880 + ... + 11331992.

It is an arithmetic number, because the mean of its divisors is an integer number (10939383).

Almost surely, 2^1280508768 is an apocalyptic number.

1280508768 is a gapful number since it is divisible by the number (18) 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 1280508768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362906728).

1280508768 is an abundant number, since it is smaller than the sum of its proper divisors (3445304688).

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

1280508768 is a wasteful number, since it uses less digits than its factorization.

1280508768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1280508768 is about 35784.1971825553. The cubic root of 1280508768 is about 1085.9108826682.

The spelling of 1280508768 in words is "one billion, two hundred eighty million, five hundred eight thousand, seven hundred sixty-eight".