1312878720 has 512 divisors, whose sum is σ = 4891104000. Its totient is φ = 297271296.

The previous prime is 1312878713. The next prime is 1312878761. The reversal of 1312878720 is 278782131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17984604 + ... + 17984676.

Almost surely, 2^1312878720 is an apocalyptic number.

1312878720 is a gapful number since it is divisible by the number (10) 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 1312878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445552000).

1312878720 is an abundant number, since it is smaller than the sum of its proper divisors (3578225280).

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

1312878720 is a wasteful number, since it uses less digits than its factorization.

1312878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 1312878720 is about 36233.6683210519. The cubic root of 1312878720 is about 1094.9850835107.

The spelling of 1312878720 in words is "one billion, three hundred twelve million, eight hundred seventy-eight thousand, seven hundred twenty".