1310791680 has 384 divisors, whose sum is σ = 5094835200. Its totient is φ = 317030400.

The previous prime is 1310791679. The next prime is 1310791697. The reversal of 1310791680 is 861970131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3041065 + ... + 3041495.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2^1310791680 is an apocalyptic number.

1310791680 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 1310791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547417600).

1310791680 is an abundant number, since it is smaller than the sum of its proper divisors (3784043520).

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

1310791680 is a wasteful number, since it uses less digits than its factorization.

1310791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1310791680 is about 36204.8571327108. The cubic root of 1310791680 is about 1094.4045552288.

The spelling of 1310791680 in words is "one billion, three hundred ten million, seven hundred ninety-one thousand, six hundred eighty".