806127560900 has 72 divisors (see below), whose sum is σ = 1834407147720. Its totient is φ = 307067120640.

The previous prime is 806127560891. The next prime is 806127560911. The reversal of 806127560900 is 9065721608.

806127560900 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 12 ways, for example, as 60795778624 + 745331782276 = 246568^2 + 863326^2 .

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, 1692239 + ... + 2115638.

Almost surely, 2^806127560900 is an apocalyptic number.

It is an amenable number.

806127560900 is an abundant number, since it is smaller than the sum of its proper divisors (1028279586820).

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

806127560900 is a wasteful number, since it uses less digits than its factorization.

806127560900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807993 (or 3807986 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 806127560900 in words is "eight hundred six billion, one hundred twenty-seven million, five hundred sixty thousand, nine hundred".