804006672 has 160 divisors (see below), whose sum is σ = 2481388800. Its totient is φ = 219469824.

The previous prime is 804006617. The next prime is 804006677. The reversal of 804006672 is 276600408.

804006672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (804006677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061718 + ... + 1062474.

It is an arithmetic number, because the mean of its divisors is an integer number (15508680).

Almost surely, 2^804006672 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 804006672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240694400).

804006672 is an abundant number, since it is smaller than the sum of its proper divisors (1677382128).

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

804006672 is a wasteful number, since it uses less digits than its factorization.

804006672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 804006672 is about 28355.0114089203. The cubic root of 804006672 is about 929.8649636287.

The spelling of 804006672 in words is "eight hundred four million, six thousand, six hundred seventy-two".