804672000 has 480 divisors, whose sum is σ = 3186653184. Its totient is φ = 193536000.

The previous prime is 804671977. The next prime is 804672013. The reversal of 804672000 is 276408.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6335937 + ... + 6336063.

Almost surely, 2^804672000 is an apocalyptic number.

804672000 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 804672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593326592).

804672000 is an abundant number, since it is smaller than the sum of its proper divisors (2381981184).

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

804672000 is a wasteful number, since it uses less digits than its factorization.

804672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 804672000 is about 28366.7410888174. The cubic root of 804672000 is about 930.1213854739.

The spelling of 804672000 in words is "eight hundred four million, six hundred seventy-two thousand".