800330400 has 216 divisors, whose sum is σ = 2920242780. Its totient is φ = 206008320.

The previous prime is 800330383. The next prime is 800330411. The reversal of 800330400 is 4033008.

It can be written as a sum of positive squares in 6 ways, for example, as 187470864 + 612859536 = 13692^2 + 24756^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 206884 + ... + 210716.

Almost surely, 2^800330400 is an apocalyptic number.

800330400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460121390).

800330400 is an abundant number, since it is smaller than the sum of its proper divisors (2119912380).

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

800330400 is a wasteful number, since it uses less digits than its factorization.

800330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3872 counting only the distinct ones).

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

The square root of 800330400 is about 28290.1113465465. Note that the first 3 decimals coincide. The cubic root of 800330400 is about 928.4455475456.

Adding to 800330400 its reverse (4033008), we get a palindrome (804363408).

The spelling of 800330400 in words is "eight hundred million, three hundred thirty thousand, four hundred".