820063007 has 8 divisors (see below), whose sum is σ = 834846480. Its totient is φ = 805309120.

The previous prime is 820063001. The next prime is 820063021. The reversal of 820063007 is 700360028.

820063007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820063007 - 2²⁰ = 819014431 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820063001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52907 + ... + 66627.

It is an arithmetic number, because the mean of its divisors is an integer number (104355810).

Almost surely, 2^820063007 is an apocalyptic number.

820063007 is a deficient number, since it is larger than the sum of its proper divisors (14783473).

820063007 is a wasteful number, since it uses less digits than its factorization.

820063007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14793.

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 820063007 is about 28636.7422553614. The cubic root of 820063007 is about 936.0141348433.

The spelling of 820063007 in words is "eight hundred twenty million, sixty-three thousand, seven".