806580085608 has 128 divisors (see below), whose sum is σ = 2445222384000. Its totient is φ = 244314178560.

The previous prime is 806580085603. The next prime is 806580085639.

806580085608 is a `hidden beast` number, since 8 + 0 + 6 + 580 + 0 + 8 + 56 + 0 + 8 = 666.

806580085608 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (806580085603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5605216 + ... + 5747312.

It is an arithmetic number, because the mean of its divisors is an integer number (19103299875).

Almost surely, 2^806580085608 is an apocalyptic number.

806580085608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806580085608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222611192000).

806580085608 is an abundant number, since it is smaller than the sum of its proper divisors (1638642298392).

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

806580085608 is a wasteful number, since it uses less digits than its factorization.

806580085608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144512 (or 144502 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 806580085608 in words is "eight hundred six billion, five hundred eighty million, eighty-five thousand, six hundred eight".