800844084480 has 288 divisors, whose sum is σ = 2849586905088. Its totient is φ = 190012825600.

The previous prime is 800844084479. The next prime is 800844084487. The reversal of 800844084480 is 84480448008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800844084487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1783585 + ... + 2186975.

It is an arithmetic number, because the mean of its divisors is an integer number (9894398976).

Almost surely, 2^800844084480 is an apocalyptic number.

800844084480 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 800844084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424793452544).

800844084480 is an abundant number, since it is smaller than the sum of its proper divisors (2048742820608).

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

800844084480 is a wasteful number, since it uses less digits than its factorization.

800844084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403473 (or 403459 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 800844084480 in words is "eight hundred billion, eight hundred forty-four million, eighty-four thousand, four hundred eighty".