806008320 has 600 divisors, whose sum is σ = 3261929616. Its totient is φ = 189775872.

The previous prime is 806008303. The next prime is 806008351. The reversal of 806008320 is 23800608.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35043829 + ... + 35043851.

Almost surely, 2^806008320 is an apocalyptic number.

806008320 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 806008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630964808).

806008320 is an abundant number, since it is smaller than the sum of its proper divisors (2455921296).

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

806008320 is a wasteful number, since it uses less digits than its factorization.

806008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 806008320 is about 28390.2856625290. The cubic root of 806008320 is about 930.6359853743.

Adding to 806008320 its reverse (23800608), we get a palindrome (829808928).

The spelling of 806008320 in words is "eight hundred six million, eight thousand, three hundred twenty".