805828608 has 384 divisors, whose sum is σ = 2751840000. Its totient is φ = 230916096.

The previous prime is 805828591. The next prime is 805828609. The reversal of 805828608 is 806828508.

805828608 is a `hidden beast` number, since 8 + 0 + 582 + 8 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805828609) 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, 13658083 + ... + 13658141.

It is an arithmetic number, because the mean of its divisors is an integer number (7166250).

Almost surely, 2^805828608 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 805828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920000).

805828608 is an abundant number, since it is smaller than the sum of its proper divisors (1946011392).

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

805828608 is a wasteful number, since it uses less digits than its factorization.

805828608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 805828608 is about 28387.1204598142. The cubic root of 805828608 is about 930.5668136790.

The spelling of 805828608 in words is "eight hundred five million, eight hundred twenty-eight thousand, six hundred eight".