801729089784 has 256 divisors, whose sum is σ = 2569028428800. Its totient is φ = 226927194624.

The previous prime is 801729089743. The next prime is 801729089797. The reversal of 801729089784 is 487980927108.

801729089784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×801729089784² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 82367382 + ... + 82377114.

It is an arithmetic number, because the mean of its divisors is an integer number (10035267300).

Almost surely, 2^801729089784 is an apocalyptic number.

801729089784 is a gapful number since it is divisible by the number (84) 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 801729089784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284514214400).

801729089784 is an abundant number, since it is smaller than the sum of its proper divisors (1767299339016).

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

801729089784 is a wasteful number, since it uses less digits than its factorization.

801729089784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10259 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 801729089784 in words is "eight hundred one billion, seven hundred twenty-nine million, eighty-nine thousand, seven hundred eighty-four".