804466080 has 576 divisors, whose sum is σ = 3297974400. Its totient is φ = 184757760.

The previous prime is 804466079. The next prime is 804466093. The reversal of 804466080 is 80664408.

804466080 is a `hidden beast` number, since 8 + 0 + 4 + 46 + 608 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 42340311 + ... + 42340329.

It is an arithmetic number, because the mean of its divisors is an integer number (5725650).

Almost surely, 2^804466080 is an apocalyptic number.

804466080 is a gapful number since it is divisible by the number (80) 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 804466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648987200).

804466080 is an abundant number, since it is smaller than the sum of its proper divisors (2493508320).

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

804466080 is a wasteful number, since it uses less digits than its factorization.

804466080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 804466080 is about 28363.1112538805. Note that the first 3 decimals coincide. The cubic root of 804466080 is about 930.0420376419.

The spelling of 804466080 in words is "eight hundred four million, four hundred sixty-six thousand, eighty".