578340000 has 720 divisors, whose sum is σ = 2579024448. Its totient is φ = 124416000.

The previous prime is 578339959. The next prime is 578340013. The reversal of 578340000 is 43875.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34019992 + ... + 34020008.

Almost surely, 2^578340000 is an apocalyptic number.

578340000 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 578340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289512224).

578340000 is an abundant number, since it is smaller than the sum of its proper divisors (2000684448).

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

578340000 is an equidigital number, since it uses as much as digits as its factorization.

578340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 578340000 is about 24048.7005885973. The cubic root of 578340000 is about 833.1587189699.

Adding to 578340000 its reverse (43875), we get a palindrome (578383875).

The spelling of 578340000 in words is "five hundred seventy-eight million, three hundred forty thousand".