580712720 has 80 divisors (see below), whose sum is σ = 1574601600. Its totient is φ = 199092096.

The previous prime is 580712719. The next prime is 580712729. The reversal of 580712720 is 27217085.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (580712729) by changing a digit.

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, 16859 + ... + 38021.

It is an arithmetic number, because the mean of its divisors is an integer number (19682520).

Almost surely, 2^580712720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787300800).

580712720 is an abundant number, since it is smaller than the sum of its proper divisors (993888880).

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

580712720 is a wasteful number, since it uses less digits than its factorization.

580712720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21197 (or 21177 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 580712720 is about 24097.9816582219. The cubic root of 580712720 is about 834.2965473890.

The spelling of 580712720 in words is "five hundred eighty million, seven hundred twelve thousand, seven hundred twenty".