578270880 has 384 divisors, whose sum is σ = 2267274240. Its totient is φ = 136442880.

The previous prime is 578270873. The next prime is 578270881. The reversal of 578270880 is 88072875.

It is a happy number.

578270880 is a `hidden beast` number, since 578 + 2 + 70 + 8 + 8 + 0 = 666.

578270880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (578270881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2043219 + ... + 2043501.

It is an arithmetic number, because the mean of its divisors is an integer number (5904360).

Almost surely, 2^578270880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133637120).

578270880 is an abundant number, since it is smaller than the sum of its proper divisors (1689003360).

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

578270880 is a wasteful number, since it uses less digits than its factorization.

578270880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 578270880 is about 24047.2634617746. The cubic root of 578270880 is about 833.1255261393.

The spelling of 578270880 in words is "five hundred seventy-eight million, two hundred seventy thousand, eight hundred eighty".