80281000800 has 2304 divisors, whose sum is σ = 403174195200. Its totient is φ = 14880153600.

The previous prime is 80281000783. The next prime is 80281000843. The reversal of 80281000800 is 800018208.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1016215161 + ... + 1016215239.

It is an arithmetic number, because the mean of its divisors is an integer number (174988800).

Almost surely, 2^80281000800 is an apocalyptic number.

80281000800 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 80281000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201587097600).

80281000800 is an abundant number, since it is smaller than the sum of its proper divisors (322893194400).

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

80281000800 is a wasteful number, since it uses less digits than its factorization.

80281000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 80281000800 in words is "eighty billion, two hundred eighty-one million, eight hundred", and thus it is an aban number.