806304 has 48 divisors (see below), whose sum is σ = 2183328. Its totient is φ = 260352.

The previous prime is 806297. The next prime is 806317. The reversal of 806304 is 403608.

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

It is a super-2 number, since 2×806304² = 1300252280832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3439 + ... + 3665.

It is an arithmetic number, because the mean of its divisors is an integer number (45486).

2⁸⁰⁶³⁰⁴ 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 806304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091664).

806304 is an abundant number, since it is smaller than the sum of its proper divisors (1377024).

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

806304 is a wasteful number, since it uses less digits than its factorization.

806304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 806304 is about 897.9443189864. The cubic root of 806304 is about 93.0749771134.

The spelling of 806304 in words is "eight hundred six thousand, three hundred four".