804768 has 48 divisors (see below), whose sum is σ = 2159136. Its totient is φ = 262400.

The previous prime is 804767. The next prime is 804803. The reversal of 804768 is 867408.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 804768.

It is not an unprimeable number, because it can be changed into a prime (804761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7918 + ... + 8018.

It is an arithmetic number, because the mean of its divisors is an integer number (44982).

2⁸⁰⁴⁷⁶⁸ 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 804768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079568).

804768 is an abundant number, since it is smaller than the sum of its proper divisors (1354368).

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

804768 is a wasteful number, since it uses less digits than its factorization.

804768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 804768 is about 897.0886243845. The cubic root of 804768 is about 93.0158372844.

The spelling of 804768 in words is "eight hundred four thousand, seven hundred sixty-eight".