806108808960 has 432 divisors, whose sum is σ = 3432684475584. Its totient is φ = 170079879168.

The previous prime is 806108808959. The next prime is 806108809013. The reversal of 806108808960 is 69808801608.

806108808960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×806108808960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 806108808897 and 806108808906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663844 + ... + 1432796.

Almost surely, 2^806108808960 is an apocalyptic number.

806108808960 is a gapful number since it is divisible by the number (80) 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 806108808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716342237792).

806108808960 is an abundant number, since it is smaller than the sum of its proper divisors (2626575666624).

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

806108808960 is a wasteful number, since it uses less digits than its factorization.

806108808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769000 (or 768983 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 806108808960 in words is "eight hundred six billion, one hundred eight million, eight hundred eight thousand, nine hundred sixty".