800800800073 has 2 divisors, whose sum is σ = 800800800074. Its totient is φ = 800800800072.

The previous prime is 800800800067. The next prime is 800800800101. The reversal of 800800800073 is 370008008008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 767046659344 + 33754140729 = 875812^2 + 183723^2 .

It is a cyclic number.

It is not a de Polignac number, because 800800800073 - 2¹⁷ = 800800669001 is a prime.

It is not a weakly prime, because it can be changed into another prime (800800800473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400400400036 + 400400400037.

It is an arithmetic number, because the mean of its divisors is an integer number (400400400037).

Almost surely, 2^800800800073 is an apocalyptic number.

It is an amenable number.

800800800073 is a deficient number, since it is larger than the sum of its proper divisors (1).

800800800073 is an equidigital number, since it uses as much as digits as its factorization.

800800800073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 800800800073 in words is "eight hundred billion, eight hundred million, eight hundred thousand, seventy-three".