800343200 has 36 divisors (see below), whose sum is σ = 1953839790. Its totient is φ = 320136960.

The previous prime is 800343157. The next prime is 800343211. The reversal of 800343200 is 2343008.

It can be written as a sum of positive squares in 3 ways, for example, as 753612304 + 46730896 = 27452^2 + 6836^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

800343200 is a modest number, since divided by 343200 gives 800 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 499415 + ... + 501014.

Almost surely, 2^800343200 is an apocalyptic number.

800343200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800343200 is an abundant number, since it is smaller than the sum of its proper divisors (1153496590).

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

800343200 is a wasteful number, since it uses less digits than its factorization.

800343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000449 (or 1000436 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 800343200 is about 28290.3375731008. The cubic root of 800343200 is about 928.4504971846.

Adding to 800343200 its reverse (2343008), we get a palindrome (802686208).

The spelling of 800343200 in words is "eight hundred million, three hundred forty-three thousand, two hundred".