806569920 has 448 divisors, whose sum is σ = 3154314240. Its totient is φ = 192761856.

The previous prime is 806569909. The next prime is 806569937. The reversal of 806569920 is 29965608.

806569920 is a `hidden beast` number, since 80 + 6 + 569 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4829677 + ... + 4829843.

It is an arithmetic number, because the mean of its divisors is an integer number (7040880).

Almost surely, 2^806569920 is an apocalyptic number.

806569920 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 806569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577157120).

806569920 is an abundant number, since it is smaller than the sum of its proper divisors (2347744320).

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

806569920 is a wasteful number, since it uses less digits than its factorization.

806569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 806569920 is about 28400.1746473503. The cubic root of 806569920 is about 930.8520806743.

The spelling of 806569920 in words is "eight hundred six million, five hundred sixty-nine thousand, nine hundred twenty".