800512078536 has 96 divisors (see below), whose sum is σ = 2182907109240. Its totient is φ = 265010863104.

The previous prime is 800512078523. The next prime is 800512078547. The reversal of 800512078536 is 635870215008.

800512078536 is a `hidden beast` number, since 80 + 0 + 512 + 0 + 7 + 8 + 53 + 6 = 666.

800512078536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 707970788100 + 92541290436 = 841410^2 + 304206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 800512078491 and 800512078500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25271220 + ... + 25302876.

Almost surely, 2^800512078536 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 800512078536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091453554620).

800512078536 is an abundant number, since it is smaller than the sum of its proper divisors (1382395030704).

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

800512078536 is a wasteful number, since it uses less digits than its factorization.

800512078536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34063 (or 34056 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 800512078536 in words is "eight hundred billion, five hundred twelve million, seventy-eight thousand, five hundred thirty-six".