800873269056 has 448 divisors, whose sum is σ = 2789011033600. Its totient is φ = 220580610048.

The previous prime is 800873269037. The next prime is 800873269081. The reversal of 800873269056 is 650962378008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×800873269056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 800873268993 and 800873269011.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 48774960 + ... + 48791376.

Almost surely, 2^800873269056 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 800873269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394505516800).

800873269056 is an abundant number, since it is smaller than the sum of its proper divisors (1988137764544).

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

800873269056 is a wasteful number, since it uses less digits than its factorization.

800873269056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16591 (or 16575 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 800873269056 in words is "eight hundred billion, eight hundred seventy-three million, two hundred sixty-nine thousand, fifty-six".