578668900 has 72 divisors (see below), whose sum is σ = 1334367720. Its totient is φ = 217405440.

The previous prime is 578668889. The next prime is 578668903. The reversal of 578668900 is 9866875.

578668900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 73984 + 578594916 = 272^2 + 24054^2 .

It is not an unprimeable number, because it can be changed into a prime (578668903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104604 + ... + 109996.

It is an arithmetic number, because the mean of its divisors is an integer number (18532885).

Almost surely, 2^578668900 is an apocalyptic number.

578668900 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 578668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667183860).

578668900 is an abundant number, since it is smaller than the sum of its proper divisors (755698820).

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

578668900 is a wasteful number, since it uses less digits than its factorization.

578668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 578668900 is about 24055.5378239606. The cubic root of 578668900 is about 833.3166272206.

It can be divided in two parts, 57866 and 8900, that added together give a palindrome (66766).

The spelling of 578668900 in words is "five hundred seventy-eight million, six hundred sixty-eight thousand, nine hundred".