804456672 has 96 divisors (see below), whose sum is σ = 2158176384. Its totient is φ = 262310400.

The previous prime is 804456661. The next prime is 804456703. The reversal of 804456672 is 276654408.

804456672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1163847 + ... + 1164537.

It is an arithmetic number, because the mean of its divisors is an integer number (22481004).

Almost surely, 2^804456672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804456672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079088192).

804456672 is an abundant number, since it is smaller than the sum of its proper divisors (1353719712).

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

804456672 is a wasteful number, since it uses less digits than its factorization.

804456672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 804456672 is about 28362.9454041713. The cubic root of 804456672 is about 930.0384121029.

The spelling of 804456672 in words is "eight hundred four million, four hundred fifty-six thousand, six hundred seventy-two".