806517000000 has 588 divisors, whose sum is σ = 2997558505760. Its totient is φ = 215006400000.

The previous prime is 806516999863. The next prime is 806517000001. The reversal of 806517000000 is 715608.

806517000000 is a `hidden beast` number, since 8 + 0 + 651 + 7 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806517000001) 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 83 ways as a sum of consecutive naturals, for example, 242998341 + ... + 243001659.

Almost surely, 2^806517000000 is an apocalyptic number.

806517000000 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 806517000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498779252880).

806517000000 is an abundant number, since it is smaller than the sum of its proper divisors (2191041505760).

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

806517000000 is an frugal number, since it uses more digits than its factorization.

806517000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 806517000000 its reverse (715608), we get a palindrome (806517715608).

The spelling of 806517000000 in words is "eight hundred six billion, five hundred seventeen million", and thus it is an aban number.