800320320 has 84 divisors (see below), whose sum is σ = 2752778340. Its totient is φ = 213417984.

The previous prime is 800320319. The next prime is 800320331. The reversal of 800320320 is 23023008.

It can be written as a sum of positive squares in 2 ways, for example, as 399680064 + 400640256 = 19992^2 + 20016^2 .

It is a super-2 number, since 2×800320320² = 1281025229209804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 800320293 and 800320302.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 136065 + ... + 141824.

Almost surely, 2^800320320 is an apocalyptic number.

800320320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800320320 is an abundant number, since it is smaller than the sum of its proper divisors (1952458020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800320320 is a wasteful number, since it uses less digits than its factorization.

800320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277912 (or 277899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 800320320 is about 28289.9331918617. The cubic root of 800320320 is about 928.4416496677.

Adding to 800320320 its reverse (23023008), we get a palindrome (823343328).

The spelling of 800320320 in words is "eight hundred million, three hundred twenty thousand, three hundred twenty".