800204590080 has 1056 divisors, whose sum is σ = 3503170296000. Its totient is φ = 172120080384.

The previous prime is 800204590069. The next prime is 800204590093. The reversal of 800204590080 is 80095402008.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 115150446 + ... + 115157394.

Almost surely, 2^800204590080 is an apocalyptic number.

800204590080 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 800204590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751585148000).

800204590080 is an abundant number, since it is smaller than the sum of its proper divisors (2702965705920).

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

800204590080 is a wasteful number, since it uses less digits than its factorization.

800204590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 800204590080 its reverse (80095402008), we get a palindrome (880299992088).

The spelling of 800204590080 in words is "eight hundred billion, two hundred four million, five hundred ninety thousand, eighty".