804728960 has 192 divisors, whose sum is σ = 2277227520. Its totient is φ = 271079424.

The previous prime is 804728957. The next prime is 804728989. The reversal of 804728960 is 69827408.

804728960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2100929 + ... + 2101311.

It is an arithmetic number, because the mean of its divisors is an integer number (11860560).

Almost surely, 2^804728960 is an apocalyptic number.

804728960 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 804728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138613760).

804728960 is an abundant number, since it is smaller than the sum of its proper divisors (1472498560).

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

804728960 is a wasteful number, since it uses less digits than its factorization.

804728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 804728960 is about 28367.7450637163. The cubic root of 804728960 is about 930.1433316682.

The spelling of 804728960 in words is "eight hundred four million, seven hundred twenty-eight thousand, nine hundred sixty".