800705093 has 8 divisors (see below), whose sum is σ = 814932216. Its totient is φ = 786513600.

The previous prime is 800705089. The next prime is 800705137. The reversal of 800705093 is 390507008.

It can be written as a sum of positive squares in 4 ways, for example, as 17656804 + 783048289 = 4202^2 + 27983^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 800705093 - 2² = 800705089 is a prime.

It is a super-2 number, since 2×800705093² = 1282257291912277298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800705023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38663 + ... + 55643.

It is an arithmetic number, because the mean of its divisors is an integer number (101866527).

Almost surely, 2^800705093 is an apocalyptic number.

It is an amenable number.

800705093 is a deficient number, since it is larger than the sum of its proper divisors (14227123).

800705093 is a wasteful number, since it uses less digits than its factorization.

800705093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17815.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 800705093 is about 28296.7329032876. The cubic root of 800705093 is about 928.5904159532.

The spelling of 800705093 in words is "eight hundred million, seven hundred five thousand, ninety-three".