806080608 has 144 divisors (see below), whose sum is σ = 2358720000. Its totient is φ = 261031680.

The previous prime is 806080603. The next prime is 806080633.

806080608 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806080603) 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, 1615143 + ... + 1615641.

It is an arithmetic number, because the mean of its divisors is an integer number (16380000).

Almost surely, 2^806080608 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 806080608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360000).

806080608 is an abundant number, since it is smaller than the sum of its proper divisors (1552639392).

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

806080608 is a wasteful number, since it uses less digits than its factorization.

806080608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 806080608 is about 28391.5587455145. The cubic root of 806080608 is about 930.6638063457.

The spelling of 806080608 in words is "eight hundred six million, eighty thousand, six hundred eight".