806608320 has 224 divisors, whose sum is σ = 3028492800. Its totient is φ = 177967104.

The previous prime is 806608279. The next prime is 806608331. The reversal of 806608320 is 23806608.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192811 + ... + 196949.

Almost surely, 2^806608320 is an apocalyptic number.

806608320 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 806608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514246400).

806608320 is an abundant number, since it is smaller than the sum of its proper divisors (2221884480).

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

806608320 is a wasteful number, since it uses less digits than its factorization.

806608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 806608320 is about 28400.8506914846. The cubic root of 806608320 is about 930.8668527570.

The spelling of 806608320 in words is "eight hundred six million, six hundred eight thousand, three hundred twenty".