801180800 has 192 divisors, whose sum is σ = 2313066240. Its totient is φ = 268492800.

The previous prime is 801180769. The next prime is 801180817. The reversal of 801180800 is 8081108.

It is a self number, because there is not a number n which added to its sum of digits gives 801180800.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1052420 + ... + 1053180.

It is an arithmetic number, because the mean of its divisors is an integer number (12047220).

Almost surely, 2^801180800 is an apocalyptic number.

801180800 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 801180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156533120).

801180800 is an abundant number, since it is smaller than the sum of its proper divisors (1511885440).

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

801180800 is a wasteful number, since it uses less digits than its factorization.

801180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The square root of 801180800 is about 28305.1373428924. The cubic root of 801180800 is about 928.7742745356.

The spelling of 801180800 in words is "eight hundred one million, one hundred eighty thousand, eight hundred".