800872286580 has 240 divisors, whose sum is σ = 2585141398224. Its totient is φ = 207459532800.

The previous prime is 800872286573. The next prime is 800872286587. The reversal of 800872286580 is 85682278008.

It is an interprime number because it is at equal distance from previous prime (800872286573) and next prime (800872286587).

It can be written as a sum of positive squares in 8 ways, for example, as 123934977936 + 676937308644 = 352044^2 + 822762^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800872286587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8625684 + ... + 8718036.

Almost surely, 2^800872286580 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 800872286580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292570699112).

800872286580 is an abundant number, since it is smaller than the sum of its proper divisors (1784269111644).

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

800872286580 is a wasteful number, since it uses less digits than its factorization.

800872286580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92528 (or 92517 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 800872286580 in words is "eight hundred billion, eight hundred seventy-two million, two hundred eighty-six thousand, five hundred eighty".