1310830080 has 320 divisors, whose sum is σ = 4926113280. Its totient is φ = 291078144.

The previous prime is 1310830063. The next prime is 1310830109. The reversal of 1310830080 is 800380131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1310830080.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1988791 + ... + 1989449.

It is an arithmetic number, because the mean of its divisors is an integer number (15394104).

Almost surely, 2^1310830080 is an apocalyptic number.

1310830080 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 1310830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463056640).

1310830080 is an abundant number, since it is smaller than the sum of its proper divisors (3615283200).

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

1310830080 is an equidigital number, since it uses as much as digits as its factorization.

1310830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1310830080 is about 36205.3874444122. The cubic root of 1310830080 is about 1094.4152420845.

The spelling of 1310830080 in words is "one billion, three hundred ten million, eight hundred thirty thousand, eighty".