578378900 has 72 divisors (see below), whose sum is σ = 1416471840. Its totient is φ = 203056000.

The previous prime is 578378849. The next prime is 578378903. The reversal of 578378900 is 9873875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578378903) 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, 22835 + ... + 40965.

It is an arithmetic number, because the mean of its divisors is an integer number (19673220).

Almost surely, 2^578378900 is an apocalyptic number.

578378900 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 578378900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708235920).

578378900 is an abundant number, since it is smaller than the sum of its proper divisors (838092940).

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

578378900 is a wasteful number, since it uses less digits than its factorization.

578378900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18185 (or 18178 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The square root of 578378900 is about 24049.5093505044. The cubic root of 578378900 is about 833.1773983785.

The spelling of 578378900 in words is "five hundred seventy-eight million, three hundred seventy-eight thousand, nine hundred".