578820 has 48 divisors (see below), whose sum is σ = 1770048. Its totient is φ = 140160.

The previous prime is 578819. The next prime is 578821. The reversal of 578820 is 28875.

It is an interprime number because it is at equal distance from previous prime (578819) and next prime (578821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578821) 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 15 ways as a sum of consecutive naturals, for example, 222 + ... + 1098.

It is an arithmetic number, because the mean of its divisors is an integer number (36876).

2⁵⁷⁸⁸²⁰ 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 578820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885024).

578820 is an abundant number, since it is smaller than the sum of its proper divisors (1191228).

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

578820 is a wasteful number, since it uses less digits than its factorization.

578820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 578820 is about 760.8022081987. The cubic root of 578820 is about 83.3389151817.

Subtracting from 578820 its reverse (28875), we obtain a palindrome (549945).

The spelling of 578820 in words is "five hundred seventy-eight thousand, eight hundred twenty".