800728091280 has 240 divisors, whose sum is σ = 2900181001536. Its totient is φ = 196815467520.

The previous prime is 800728091263. The next prime is 800728091291. The reversal of 800728091280 is 82190827008.

It is a happy number.

800728091280 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 280 + 91 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6405859 + ... + 6529661.

Almost surely, 2^800728091280 is an apocalyptic number.

800728091280 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 800728091280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450090500768).

800728091280 is an abundant number, since it is smaller than the sum of its proper divisors (2099452910256).

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

800728091280 is a wasteful number, since it uses less digits than its factorization.

800728091280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124526 (or 124517 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 800728091280 in words is "eight hundred billion, seven hundred twenty-eight million, ninety-one thousand, two hundred eighty".