1580807680 has 160 divisors (see below), whose sum is σ = 3945604608. Its totient is φ = 607027200.

The previous prime is 1580807677. The next prime is 1580807743. The reversal of 1580807680 is 867080851.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1580807680² = 4997905842293964800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8276385 + ... + 8276575.

Almost surely, 2^1580807680 is an apocalyptic number.

1580807680 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 1580807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972802304).

1580807680 is an abundant number, since it is smaller than the sum of its proper divisors (2364796928).

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

1580807680 is an equidigital number, since it uses as much as digits as its factorization.

1580807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The square root of 1580807680 is about 39759.3722284445. The cubic root of 1580807680 is about 1164.9117139161.

The spelling of 1580807680 in words is "one billion, five hundred eighty million, eight hundred seven thousand, six hundred eighty".