80800444800 has 288 divisors, whose sum is σ = 294453787680. Its totient is φ = 21087989760.

The previous prime is 80800444799. The next prime is 80800444819. The reversal of 80800444800 is 844400808.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1323754 + ... + 1383446.

It is an arithmetic number, because the mean of its divisors is an integer number (1022408985).

Almost surely, 2^80800444800 is an apocalyptic number.

80800444800 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 80800444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147226893840).

80800444800 is an abundant number, since it is smaller than the sum of its proper divisors (213653342880).

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

80800444800 is a wasteful number, since it uses less digits than its factorization.

80800444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59770 (or 59750 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 80800444800 in words is "eighty billion, eight hundred million, four hundred forty-four thousand, eight hundred".