806000 has 80 divisors (see below), whose sum is σ = 2166528. Its totient is φ = 288000.

The previous prime is 805991. The next prime is 806009. The reversal of 806000 is 608.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (805991) and next prime (806009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806009) by changing a digit.

806000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25985 + ... + 26015.

2⁸⁰⁶⁰⁰⁰ is an apocalyptic number.

806000 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 806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083264).

806000 is an abundant number, since it is smaller than the sum of its proper divisors (1360528).

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

806000 is a wasteful number, since it uses less digits than its factorization.

806000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 806000 is about 897.7750274985. The cubic root of 806000 is about 93.0632783208.

Adding to 806000 its reverse (608), we get a palindrome (806608).

The spelling of 806000 in words is "eight hundred six thousand".