809829703872 has 448 divisors, whose sum is σ = 2764039541760. Its totient is φ = 227729276928.

The previous prime is 809829703871. The next prime is 809829703883. The reversal of 809829703872 is 278307928908.

It is a happy number.

809829703872 is a `hidden beast` number, since 80 + 98 + 2 + 97 + 0 + 387 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×809829703872³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (809829703871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294161248 + ... + 294164000.

It is an arithmetic number, because the mean of its divisors is an integer number (6169731120).

Almost surely, 2^809829703872 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 809829703872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382019770880).

809829703872 is an abundant number, since it is smaller than the sum of its proper divisors (1954209837888).

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

809829703872 is a wasteful number, since it uses less digits than its factorization.

809829703872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 809829703872 in words is "eight hundred nine billion, eight hundred twenty-nine million, seven hundred three thousand, eight hundred seventy-two".