804960000 has 540 divisors, whose sum is σ = 3195920728. Its totient is φ = 193536000.

The previous prime is 804959963. The next prime is 804960007. The reversal of 804960000 is 69408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804960007) by changing a digit.

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, 18719979 + ... + 18720021.

Almost surely, 2^804960000 is an apocalyptic number.

804960000 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 804960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597960364).

804960000 is an abundant number, since it is smaller than the sum of its proper divisors (2390960728).

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

804960000 is a wasteful number, since it uses less digits than its factorization.

804960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 804960000 is about 28371.8170020885. The cubic root of 804960000 is about 930.2323387596.

The spelling of 804960000 in words is "eight hundred four million, nine hundred sixty thousand".