820516079 has 8 divisors (see below), whose sum is σ = 824910240. Its totient is φ = 816132096.

The previous prime is 820516061. The next prime is 820516093. The reversal of 820516079 is 970615028.

820516079 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 820516079 - 2¹² = 820511983 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 (820516379) 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, 200219 + ... + 204275.

It is an arithmetic number, because the mean of its divisors is an integer number (103113780).

Almost surely, 2^820516079 is an apocalyptic number.

820516079 is a deficient number, since it is larger than the sum of its proper divisors (4394161).

820516079 is a wasteful number, since it uses less digits than its factorization.

820516079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089.

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 820516079 is about 28644.6518393923. The cubic root of 820516079 is about 936.1864808366.

The spelling of 820516079 in words is "eight hundred twenty million, five hundred sixteen thousand, seventy-nine".