800444505 has 32 divisors (see below), whose sum is σ = 1527312384. Its totient is φ = 350006976.

The previous prime is 800444479. The next prime is 800444549. The reversal of 800444505 is 505444008.

It is not a de Polignac number, because 800444505 - 2¹⁵ = 800411737 is a prime.

It is a super-2 number, since 2×800444505² = 1281422811169390050, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 163309 + ... + 168138.

It is an arithmetic number, because the mean of its divisors is an integer number (47728512).

Almost surely, 2^800444505 is an apocalyptic number.

It is an amenable number.

800444505 is a deficient number, since it is larger than the sum of its proper divisors (726867879).

800444505 is a wasteful number, since it uses less digits than its factorization.

800444505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331485.

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 800444505 is about 28292.1279687478. The cubic root of 800444505 is about 928.4896690088.

The spelling of 800444505 in words is "eight hundred million, four hundred forty-four thousand, five hundred five".