806682000 has 160 divisors (see below), whose sum is σ = 2685256704. Its totient is φ = 208128000.

The previous prime is 806681987. The next prime is 806682001. The reversal of 806682000 is 286608.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806682001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183832 + ... + 188168.

Almost surely, 2^806682000 is an apocalyptic number.

806682000 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 806682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342628352).

806682000 is an abundant number, since it is smaller than the sum of its proper divisors (1878574704).

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

806682000 is a wasteful number, since it uses less digits than its factorization.

806682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 806682000 is about 28402.1478061079. The cubic root of 806682000 is about 930.8951953779.

Adding to 806682000 its product of nonzero digits (4608), we get a palindrome (806686608).

The spelling of 806682000 in words is "eight hundred six million, six hundred eighty-two thousand".