809699829120 has 2048 divisors, whose sum is σ = 3811594752000. Its totient is φ = 157659955200.

The previous prime is 809699829083. The next prime is 809699829163. The reversal of 809699829120 is 21928996908.

809699829120 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 super-2 number, since 2×809699829120² (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 255 ways as a sum of consecutive naturals, for example, 1224961590 + ... + 1224962250.

It is an arithmetic number, because the mean of its divisors is an integer number (1861130250).

Almost surely, 2^809699829120 is an apocalyptic number.

809699829120 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 809699829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905797376000).

809699829120 is an abundant number, since it is smaller than the sum of its proper divisors (3001894922880).

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

809699829120 is a wasteful number, since it uses less digits than its factorization.

809699829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 809699829120 in words is "eight hundred nine billion, six hundred ninety-nine million, eight hundred twenty-nine thousand, one hundred twenty".