578800 has 30 divisors (see below), whose sum is σ = 1391528. Its totient is φ = 231360.

The previous prime is 578789. The next prime is 578803. The reversal of 578800 is 8875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 324 + ... + 1123.

2⁵⁷⁸⁸⁰⁰ is an apocalyptic number.

578800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

578800 is an abundant number, since it is smaller than the sum of its proper divisors (812728).

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

578800 is a wasteful number, since it uses less digits than its factorization.

578800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 578800 is about 760.7890640644. The cubic root of 578800 is about 83.3379552992.

It can be divided in two parts, 578 and 800, that multiplied together give a square (462400 = 680²).

The spelling of 578800 in words is "five hundred seventy-eight thousand, eight hundred".