844080800080 has 80 divisors (see below), whose sum is σ = 2244694080384. Its totient is φ = 289160317440.

The previous prime is 844080800071. The next prime is 844080800081. The reversal of 844080800080 is 80008080448.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844080800081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57975 + ... + 1300585.

Almost surely, 2^844080800080 is an apocalyptic number.

844080800080 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 844080800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122347040192).

844080800080 is an abundant number, since it is smaller than the sum of its proper divisors (1400613280304).

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

844080800080 is a wasteful number, since it uses less digits than its factorization.

844080800080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243844 (or 1243838 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 844080800080 in words is "eight hundred forty-four billion, eighty million, eight hundred thousand, eighty".