809837460480 has 176 divisors, whose sum is σ = 2590939975680. Its totient is φ = 215896178688.

The previous prime is 809837460473. The next prime is 809837460491. The reversal of 809837460480 is 84064738908.

It is a self number, because there is not a number n which added to its sum of digits gives 809837460480.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 92877561 + ... + 92886279.

Almost surely, 2^809837460480 is an apocalyptic number.

809837460480 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 809837460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295469987840).

809837460480 is an abundant number, since it is smaller than the sum of its proper divisors (1781102515200).

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

809837460480 is a wasteful number, since it uses less digits than its factorization.

809837460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14794 (or 14776 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 809837460480 in words is "eight hundred nine billion, eight hundred thirty-seven million, four hundred sixty thousand, four hundred eighty".