801336800 has 144 divisors (see below), whose sum is σ = 2187141264. Its totient is φ = 284160000.

The previous prime is 801336791. The next prime is 801336847. The reversal of 801336800 is 8633108.

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 23 ways as a sum of consecutive naturals, for example, 359690 + ... + 361910.

It is an arithmetic number, because the mean of its divisors is an integer number (15188481).

Almost surely, 2^801336800 is an apocalyptic number.

801336800 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 801336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093570632).

801336800 is an abundant number, since it is smaller than the sum of its proper divisors (1385804464).

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

801336800 is a wasteful number, since it uses less digits than its factorization.

801336800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 801336800 is about 28307.8928922659. The cubic root of 801336800 is about 928.8345519760.

Adding to 801336800 its reverse (8633108), we get a palindrome (809969908).

The spelling of 801336800 in words is "eight hundred one million, three hundred thirty-six thousand, eight hundred".