578730880 has 256 divisors, whose sum is σ = 1795852800. Its totient is φ = 173187072.

The previous prime is 578730877. The next prime is 578730961. The reversal of 578730880 is 88037875.

578730880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 578730880.

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, 1106299 + ... + 1106821.

It is an arithmetic number, because the mean of its divisors is an integer number (7015050).

Almost surely, 2^578730880 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 578730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897926400).

578730880 is an abundant number, since it is smaller than the sum of its proper divisors (1217121920).

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

578730880 is a wasteful number, since it uses less digits than its factorization.

578730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The square root of 578730880 is about 24056.8260583145. The cubic root of 578730880 is about 833.3463777514.

The spelling of 578730880 in words is "five hundred seventy-eight million, seven hundred thirty thousand, eight hundred eighty".