806008073 has 8 divisors (see below), whose sum is σ = 868422408. Its totient is φ = 743652864.

The previous prime is 806008069. The next prime is 806008081. The reversal of 806008073 is 370800608.

It can be written as a sum of positive squares in 4 ways, for example, as 55905529 + 750102544 = 7477^2 + 27388^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 806008073 - 2² = 806008069 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (806008033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15911 + ... + 43187.

It is an arithmetic number, because the mean of its divisors is an integer number (108552801).

Almost surely, 2^806008073 is an apocalyptic number.

It is an amenable number.

806008073 is a deficient number, since it is larger than the sum of its proper divisors (62414335).

806008073 is a wasteful number, since it uses less digits than its factorization.

806008073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29563.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 806008073 is about 28390.2813124492. The cubic root of 806008073 is about 930.6358903104.

The spelling of 806008073 in words is "eight hundred six million, eight thousand, seventy-three".