809247386880 has 648 divisors, whose sum is σ = 2929508952552. Its totient is φ = 214166716416.

The previous prime is 809247386873. The next prime is 809247386887. The reversal of 809247386880 is 88683742908.

809247386880 is a `hidden beast` number, since 8 + 0 + 9 + 2 + 473 + 86 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (809247386873) and next prime (809247386887).

It can be written as a sum of positive squares in 4 ways, for example, as 79822070784 + 729425316096 = 282528^2 + 854064^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×809247386880² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809247386887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1452867562 + ... + 1452868118.

It is an arithmetic number, because the mean of its divisors is an integer number (4520847149).

Almost surely, 2^809247386880 is an apocalyptic number.

809247386880 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 809247386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464754476276).

809247386880 is an abundant number, since it is smaller than the sum of its proper divisors (2120261565672).

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

809247386880 is an frugal number, since it uses more digits than its factorization.

809247386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 809247386880 in words is "eight hundred nine billion, two hundred forty-seven million, three hundred eighty-six thousand, eight hundred eighty".