800545213440 has 1760 divisors, whose sum is σ = 3496785621120. Its totient is φ = 171228266496.

The previous prime is 800545213439. The next prime is 800545213463. The reversal of 800545213440 is 44312545008.

It is a happy number.

800545213440 is a `hidden beast` number, since 80 + 0 + 54 + 521 + 3 + 4 + 4 + 0 = 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 = 800545213395 and 800545213404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3114961792 + ... + 3114962048.

It is an arithmetic number, because the mean of its divisors is an integer number (1986810012).

Almost surely, 2^800545213440 is an apocalyptic number.

800545213440 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 800545213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748392810560).

800545213440 is an abundant number, since it is smaller than the sum of its proper divisors (2696240407680).

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

800545213440 is a wasteful number, since it uses less digits than its factorization.

800545213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 800545213440 its reverse (44312545008), we get a palindrome (844857758448).

The spelling of 800545213440 in words is "eight hundred billion, five hundred forty-five million, two hundred thirteen thousand, four hundred forty".