800026560 has 84 divisors (see below), whose sum is σ = 2751767928. Its totient is φ = 213339648.

The previous prime is 800026541. The next prime is 800026561. The reversal of 800026560 is 65620008.

800026560 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 2 + 656 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800026561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136014 + ... + 141773.

It is an arithmetic number, because the mean of its divisors is an integer number (32759142).

Almost surely, 2^800026560 is an apocalyptic number.

800026560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800026560 is an abundant number, since it is smaller than the sum of its proper divisors (1951741368).

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

800026560 is a wasteful number, since it uses less digits than its factorization.

800026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277810 (or 277797 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 800026560 is about 28284.7407624677. The cubic root of 800026560 is about 928.3280399922.

Adding to 800026560 its reverse (65620008), we get a palindrome (865646568).

The spelling of 800026560 in words is "eight hundred million, twenty-six thousand, five hundred sixty".