800728284356 has 192 divisors, whose sum is σ = 1905231767040. Its totient is φ = 284350832640.

The previous prime is 800728284353. The next prime is 800728284401. The reversal of 800728284356 is 653482827008.

It is a junction number, because it is equal to n+sod(n) for n = 800728284298 and 800728284307.

It is not an unprimeable number, because it can be changed into a prime (800728284353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125326010 + ... + 125332398.

It is an arithmetic number, because the mean of its divisors is an integer number (9923082120).

Almost surely, 2^800728284356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800728284356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952615883520).

800728284356 is an abundant number, since it is smaller than the sum of its proper divisors (1104503482684).

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

800728284356 is a wasteful number, since it uses less digits than its factorization.

800728284356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 53.

The spelling of 800728284356 in words is "eight hundred billion, seven hundred twenty-eight million, two hundred eighty-four thousand, three hundred fifty-six".