820007 has 4 divisors (see below), whose sum is σ = 827640. Its totient is φ = 812376.

The previous prime is 819991. The next prime is 820037. The reversal of 820007 is 700028.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 820007 - 2⁴ = 819991 is a prime.

It is a super-2 number, since 2×820007² = 1344822960098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3653 + ... + 3870.

It is an arithmetic number, because the mean of its divisors is an integer number (206910).

2⁸²⁰⁰⁰⁷ is an apocalyptic number.

820007 is a deficient number, since it is larger than the sum of its proper divisors (7633).

820007 is a wasteful number, since it uses less digits than its factorization.

820007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 820007 is about 905.5423789089. The cubic root of 820007 is about 93.5992825693.

The spelling of 820007 in words is "eight hundred twenty thousand, seven".