578640000 has 160 divisors (see below), whose sum is σ = 1921447440. Its totient is φ = 154240000.

The previous prime is 578639993. The next prime is 578640031. The reversal of 578640000 is 46875.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a self number, because there is not a number n which added to its sum of digits gives 578640000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238795 + ... + 241205.

Almost surely, 2^578640000 is an apocalyptic number.

578640000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960723720).

578640000 is an abundant number, since it is smaller than the sum of its proper divisors (1342807440).

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

578640000 is an equidigital number, since it uses as much as digits as its factorization.

578640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 578640000 is about 24054.9371231770. The cubic root of 578640000 is about 833.3027544335.

Adding to 578640000 its reverse (46875), we get a palindrome (578686875).

The spelling of 578640000 in words is "five hundred seventy-eight million, six hundred forty thousand".