578760 has 128 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 119808.

The previous prime is 578741. The next prime is 578777. The reversal of 578760 is 67875.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 83.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10894 + ... + 10946.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁵⁷⁸⁷⁶⁰ 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 578760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

578760 is an abundant number, since it is smaller than the sum of its proper divisors (1598520).

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

578760 is a wasteful number, since it uses less digits than its factorization.

578760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 578760 is about 760.7627751146. The cubic root of 578760 is about 83.3360354679.

The spelling of 578760 in words is "five hundred seventy-eight thousand, seven hundred sixty".