800616468288 has 280 divisors, whose sum is σ = 2622773024192. Its totient is φ = 211141472256.

The previous prime is 800616468269. The next prime is 800616468293. The reversal of 800616468288 is 882864616008.

800616468288 is digitally balanced in base 2 and base 4, because in such bases 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 39 ways as a sum of consecutive naturals, for example, 38375556 + ... + 38396412.

Almost surely, 2^800616468288 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 800616468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311386512096).

800616468288 is an abundant number, since it is smaller than the sum of its proper divisors (1822156555904).

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

800616468288 is an equidigital number, since it uses as much as digits as its factorization.

800616468288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20931 (or 20882 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 800616468288 in words is "eight hundred billion, six hundred sixteen million, four hundred sixty-eight thousand, two hundred eighty-eight".