578280 has 64 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 149760.

The previous prime is 578267. The next prime is 578297. The reversal of 578280 is 82875.

578280 = T₇₈ + T₇₉ + ... + T₁₅₇.

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7281 + ... + 7359.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2⁵⁷⁸²⁸⁰ 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 578280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

578280 is an abundant number, since it is smaller than the sum of its proper divisors (1207320).

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

578280 is a wasteful number, since it uses less digits than its factorization.

578280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

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

The square root of 578280 is about 760.4472368284. The cubic root of 578280 is about 83.3129905900.

It can be divided in two parts, 578 and 280, that added together give a palindrome (858).

The spelling of 578280 in words is "five hundred seventy-eight thousand, two hundred eighty".