800446934329 has 27 divisors (see below), whose sum is σ = 973551522447. Its totient is φ = 656148954384.

The previous prime is 800446934297. The next prime is 800446934359. The reversal of 800446934329 is 923439644008.

The square root of 800446934329 is 894677.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 754457274025 + 45989660304 = 868595^2 + 214452^2 .

It is not a de Polignac number, because 800446934329 - 2⁵ = 800446934297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (800446934359) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144040219 + ... + 144045775.

Almost surely, 2^800446934329 is an apocalyptic number.

800446934329 is the 894677-th square number.

800446934329 is the 447339-th centered octagonal number.

It is an amenable number.

800446934329 is a deficient number, since it is larger than the sum of its proper divisors (173104588118).

800446934329 is an frugal number, since it uses more digits than its factorization.

800446934329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11174 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 52.

The spelling of 800446934329 in words is "eight hundred billion, four hundred forty-six million, nine hundred thirty-four thousand, three hundred twenty-nine".