804444960 has 192 divisors, whose sum is σ = 2779951104. Its totient is φ = 193920000.

The previous prime is 804444943. The next prime is 804444973. The reversal of 804444960 is 69444408.

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 31 ways as a sum of consecutive naturals, for example, 1324977 + ... + 1325583.

It is an arithmetic number, because the mean of its divisors is an integer number (14478912).

Almost surely, 2^804444960 is an apocalyptic number.

804444960 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 804444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389975552).

804444960 is an abundant number, since it is smaller than the sum of its proper divisors (1975506144).

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

804444960 is a wasteful number, since it uses less digits than its factorization.

804444960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 804444960 is about 28362.7389368516. The cubic root of 804444960 is about 930.0338986372.

The spelling of 804444960 in words is "eight hundred four million, four hundred forty-four thousand, nine hundred sixty".