578880000 has 400 divisors, whose sum is σ = 2173179360. Its totient is φ = 152064000.

The previous prime is 578879989. The next prime is 578880007. The reversal of 578880000 is 88875.

578880000 is a `hidden beast` number, since 578 + 8 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (578880007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639967 + ... + 8640033.

Almost surely, 2^578880000 is an apocalyptic number.

578880000 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 578880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086589680).

578880000 is an abundant number, since it is smaller than the sum of its proper divisors (1594299360).

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

578880000 is an frugal number, since it uses more digits than its factorization.

578880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 578880000 is about 24059.9251869161. The cubic root of 578880000 is about 833.4179469639.

The spelling of 578880000 in words is "five hundred seventy-eight million, eight hundred eighty thousand".