800326400 has 108 divisors (see below), whose sum is σ = 2067440592. Its totient is φ = 306155520.

The previous prime is 800326393. The next prime is 800326403. The reversal of 800326400 is 4623008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (800326403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144482 + ... + 149918.

Almost surely, 2^800326400 is an apocalyptic number.

800326400 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 800326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033720296).

800326400 is an abundant number, since it is smaller than the sum of its proper divisors (1267114192).

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

800326400 is a wasteful number, since it uses less digits than its factorization.

800326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 800326400 is about 28290.0406503773. The cubic root of 800326400 is about 928.4440007726. Note that the first 3 decimals are identical.

Adding to 800326400 its reverse (4623008), we get a palindrome (804949408).

The spelling of 800326400 in words is "eight hundred million, three hundred twenty-six thousand, four hundred".