1585800080 has 40 divisors (see below), whose sum is σ = 3688813752. Its totient is φ = 634005504.

The previous prime is 1585800079. The next prime is 1585800089. The reversal of 1585800080 is 800085851.

It can be written as a sum of positive squares in 4 ways, for example, as 48219136 + 1537580944 = 6944^2 + 39212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1585800080.

It is not an unprimeable number, because it can be changed into a prime (1585800089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223142 + ... + 230138.

Almost surely, 2^1585800080 is an apocalyptic number.

1585800080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1585800080 is an abundant number, since it is smaller than the sum of its proper divisors (2103013672).

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

1585800080 is a wasteful number, since it uses less digits than its factorization.

1585800080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9843 (or 9837 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 35.

The square root of 1585800080 is about 39822.1054189755. The cubic root of 1585800080 is about 1166.1367403751.

The spelling of 1585800080 in words is "one billion, five hundred eighty-five million, eight hundred thousand, eighty".