578558880 has 144 divisors (see below), whose sum is σ = 1990052064. Its totient is φ = 153054720.

The previous prime is 578558879. The next prime is 578558891. The reversal of 578558880 is 88855875.

578558880 is a `hidden beast` number, since 5 + 7 + 8 + 558 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 187107 + ... + 190173.

It is an arithmetic number, because the mean of its divisors is an integer number (13819806).

Almost surely, 2^578558880 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 578558880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995026032).

578558880 is an abundant number, since it is smaller than the sum of its proper divisors (1411493184).

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

578558880 is a wasteful number, since it uses less digits than its factorization.

578558880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 3584000, while the sum is 54.

The square root of 578558880 is about 24053.2509237317. The cubic root of 578558880 is about 833.2638121559.

The spelling of 578558880 in words is "five hundred seventy-eight million, five hundred fifty-eight thousand, eight hundred eighty".