804000564 has 36 divisors (see below), whose sum is σ = 2033200260. Its totient is φ = 267886080.

The previous prime is 804000563. The next prime is 804000583. The reversal of 804000564 is 465000408.

It can be written as a sum of positive squares in 2 ways, for example, as 524776464 + 279224100 = 22908^2 + 16710^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804000563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149604 + ... + 154884.

It is an arithmetic number, because the mean of its divisors is an integer number (56477785).

Almost surely, 2^804000564 is an apocalyptic number.

It is an amenable number.

804000564 is an abundant number, since it is smaller than the sum of its proper divisors (1229199696).

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

804000564 is a wasteful number, since it uses less digits than its factorization.

804000564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520 (or 9515 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 804000564 is about 28354.9037028871. The cubic root of 804000564 is about 929.8626089096.

The spelling of 804000564 in words is "eight hundred four million, five hundred sixty-four", and thus it is an aban number.