804511808 has 56 divisors (see below), whose sum is σ = 1698269400. Its totient is φ = 376823808.

The previous prime is 804511793. The next prime is 804511819. The reversal of 804511808 is 808115408.

804511808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 332405824 + 472105984 = 18232^2 + 21728^2 .

It is a super-2 number, since 2×804511808² = 1294478498422857728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247538 + ... + 250766.

Almost surely, 2^804511808 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 804511808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849134700).

804511808 is an abundant number, since it is smaller than the sum of its proper divisors (893757592).

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

804511808 is a wasteful number, since it uses less digits than its factorization.

804511808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 35.

The square root of 804511808 is about 28363.9173599135. The cubic root of 804511808 is about 930.0596593323.

The spelling of 804511808 in words is "eight hundred four million, five hundred eleven thousand, eight hundred eight".