800481208800 has 648 divisors, whose sum is σ = 3282132258216. Its totient is φ = 168888545280.

The previous prime is 800481208789. The next prime is 800481208801. The reversal of 800481208800 is 8802184008.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800481208801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19854262 + ... + 19894538.

It is an arithmetic number, because the mean of its divisors is an integer number (5065018917).

Almost surely, 2^800481208800 is an apocalyptic number.

800481208800 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 800481208800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641066129108).

800481208800 is an abundant number, since it is smaller than the sum of its proper divisors (2481651049416).

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

800481208800 is a wasteful number, since it uses less digits than its factorization.

800481208800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40340 (or 40307 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The spelling of 800481208800 in words is "eight hundred billion, four hundred eighty-one million, two hundred eight thousand, eight hundred".