800564521440 has 384 divisors, whose sum is σ = 2624237263872. Its totient is φ = 205039779840.

The previous prime is 800564521439. The next prime is 800564521451. The reversal of 800564521440 is 44125465008.

It is a happy number.

800564521440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206488782 + ... + 206492658.

It is an arithmetic number, because the mean of its divisors is an integer number (6833951208).

Almost surely, 2^800564521440 is an apocalyptic number.

800564521440 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 800564521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312118631936).

800564521440 is an abundant number, since it is smaller than the sum of its proper divisors (1823672742432).

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

800564521440 is a wasteful number, since it uses less digits than its factorization.

800564521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

Adding to 800564521440 its reverse (44125465008), we get a palindrome (844689986448).

The spelling of 800564521440 in words is "eight hundred billion, five hundred sixty-four million, five hundred twenty-one thousand, four hundred forty".