578320 has 20 divisors (see below), whose sum is σ = 1344780. Its totient is φ = 231296.

The previous prime is 578317. The next prime is 578327. The reversal of 578320 is 23875.

578320 = 25² + 26² + ... + 120².

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 126736 = 672^2 + 356^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3535 + ... + 3694.

It is an arithmetic number, because the mean of its divisors is an integer number (67239).

2⁵⁷⁸³²⁰ is an apocalyptic number.

It is an amenable number.

578320 is an abundant number, since it is smaller than the sum of its proper divisors (766460).

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

578320 is a wasteful number, since it uses less digits than its factorization.

578320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 578320 is about 760.4735366862. The cubic root of 578320 is about 83.3149114835.

It can be divided in two parts, 578 and 320, that added together give a palindrome (898).

The spelling of 578320 in words is "five hundred seventy-eight thousand, three hundred twenty".