800422560 has 576 divisors, whose sum is σ = 3447505152. Its totient is φ = 171196416.

The previous prime is 800422523. The next prime is 800422561. The reversal of 800422560 is 65224008.

800422560 is a `hidden beast` number, since 80 + 0 + 4 + 22 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800422561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4626634 + ... + 4626806.

It is an arithmetic number, because the mean of its divisors is an integer number (5985252).

Almost surely, 2^800422560 is an apocalyptic number.

800422560 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 800422560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723752576).

800422560 is an abundant number, since it is smaller than the sum of its proper divisors (2647082592).

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

800422560 is a wasteful number, since it uses less digits than its factorization.

800422560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 800422560 is about 28291.7401373616. The cubic root of 800422560 is about 928.4811837684.

Adding to 800422560 its reverse (65224008), we get a palindrome (865646568).

The spelling of 800422560 in words is "eight hundred million, four hundred twenty-two thousand, five hundred sixty".