806728 has 16 divisors (see below), whose sum is σ = 1629180. Its totient is φ = 372288.

The previous prime is 806719. The next prime is 806737. The reversal of 806728 is 827608.

806728 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (806719) and next prime (806737).

It can be written as a sum of positive squares in 2 ways, for example, as 806404 + 324 = 898^2 + 18^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 806728.

It is an unprimeable number.

806728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3775 + ... + 3982.

2⁸⁰⁶⁷²⁸ is an apocalyptic number.

It is an amenable number.

806728 is an abundant number, since it is smaller than the sum of its proper divisors (822452).

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

806728 is a wasteful number, since it uses less digits than its factorization.

806728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 806728 is about 898.1803827740. The cubic root of 806728 is about 93.0912889407.

The spelling of 806728 in words is "eight hundred six thousand, seven hundred twenty-eight".