804564576 has 360 divisors, whose sum is σ = 2725070040. Its totient is φ = 231413760.

The previous prime is 804564569. The next prime is 804564589. The reversal of 804564576 is 675465408.

804564576 is a `hidden beast` number, since 80 + 4 + 564 + 5 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25953681 + ... + 25953711.

It is an arithmetic number, because the mean of its divisors is an integer number (7569639).

Almost surely, 2^804564576 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 804564576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362535020).

804564576 is an abundant number, since it is smaller than the sum of its proper divisors (1920505464).

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

804564576 is a wasteful number, since it uses less digits than its factorization.

804564576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 804564576 is about 28364.8475405739. The cubic root of 804564576 is about 930.0799931193.

The spelling of 804564576 in words is "eight hundred four million, five hundred sixty-four thousand, five hundred seventy-six".