804672 has 84 divisors (see below), whose sum is σ = 2535936. Its totient is φ = 241920.

The previous prime is 804653. The next prime is 804689. The reversal of 804672 is 276408.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6273 + ... + 6399.

2⁸⁰⁴⁶⁷² 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 804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267968).

804672 is an abundant number, since it is smaller than the sum of its proper divisors (1731264).

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

804672 is a wasteful number, since it uses less digits than its factorization.

804672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

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

The square root of 804672 is about 897.0351163695. The cubic root of 804672 is about 93.0121385474.

It can be divided in two parts, 8046 and 72, that added together give a palindrome (8118).

The spelling of 804672 in words is "eight hundred four thousand, six hundred seventy-two".