805829863587840 has 2880 divisors, whose sum is σ = 3621895783833600. Its totient is φ = 164515880632320.

The previous prime is 805829863587839. The next prime is 805829863587877. The reversal of 805829863587840 is 48785368928508.

It is a happy number.

805829863587840 is a `hidden beast` number, since 8 + 0 + 5 + 8 + 29 + 8 + 6 + 3 + 587 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a self number, because there is not a number n which added to its sum of digits gives 805829863587840.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101913473167 + ... + 101913481073.

It is an arithmetic number, because the mean of its divisors is an integer number (1257602702720).

Almost surely, 2^{805829863587840} is an apocalyptic number.

805829863587840 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 805829863587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810947891916800).

805829863587840 is an abundant number, since it is smaller than the sum of its proper divisors (2816065920245760).

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

805829863587840 is a wasteful number, since it uses less digits than its factorization.

805829863587840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 7431782400, while the sum is 81.

The spelling of 805829863587840 in words is "eight hundred five trillion, eight hundred twenty-nine billion, eight hundred sixty-three million, five hundred eighty-seven thousand, eight hundred forty".