805690440 has 192 divisors, whose sum is σ = 2802945600. Its totient is φ = 200102400.

The previous prime is 805690423. The next prime is 805690447. The reversal of 805690440 is 44096508.

805690440 is a `hidden beast` number, since 80 + 56 + 90 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 805690395 and 805690404.

It is not an unprimeable number, because it can be changed into a prime (805690447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 416275 + ... + 418205.

It is an arithmetic number, because the mean of its divisors is an integer number (14598675).

Almost surely, 2^805690440 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 805690440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401472800).

805690440 is an abundant number, since it is smaller than the sum of its proper divisors (1997255160).

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

805690440 is a wasteful number, since it uses less digits than its factorization.

805690440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 805690440 is about 28384.6867166083. The cubic root of 805690440 is about 930.5136254024.

The spelling of 805690440 in words is "eight hundred five million, six hundred ninety thousand, four hundred forty".