809549660772 has 72 divisors (see below), whose sum is σ = 2065714330680. Its totient is φ = 267299274240.

The previous prime is 809549660767. The next prime is 809549660779. The reversal of 809549660772 is 277066945908.

809549660772 is a `hidden beast` number, since 80 + 9 + 5 + 496 + 60 + 7 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 616674101796 + 192875558976 = 785286^2 + 439176^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (809549660779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14966608 + ... + 15020600.

It is an arithmetic number, because the mean of its divisors is an integer number (28690476815).

Almost surely, 2^809549660772 is an apocalyptic number.

It is an amenable number.

809549660772 is an abundant number, since it is smaller than the sum of its proper divisors (1256164669908).

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

809549660772 is a wasteful number, since it uses less digits than its factorization.

809549660772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57933 (or 57928 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 809549660772 in words is "eight hundred nine billion, five hundred forty-nine million, six hundred sixty thousand, seven hundred seventy-two".