800073 has 6 divisors (see below), whose sum is σ = 1155674. Its totient is φ = 533376.

The previous prime is 800057. The next prime is 800077. The reversal of 800073 is 370008.

It can be written as a sum of positive squares in only one way, i.e., 558009 + 242064 = 747^2 + 492^2 .

It is not a de Polignac number, because 800073 - 2⁴ = 800057 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (800077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44440 + ... + 44457.

2⁸⁰⁰⁰⁷³ is an apocalyptic number.

It is an amenable number.

800073 is a deficient number, since it is larger than the sum of its proper divisors (355601).

800073 is a wasteful number, since it uses less digits than its factorization.

800073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88903 (or 88900 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 800073 is about 894.4679983096. The cubic root of 800073 is about 92.8346002196.

The spelling of 800073 in words is "eight hundred thousand, seventy-three".