820564877 has 8 divisors (see below), whose sum is σ = 897234240. Its totient is φ = 744240960.

The previous prime is 820564853. The next prime is 820564919. The reversal of 820564877 is 778465028.

820564877 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 820564877 - 2¹⁰ = 820563853 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 (820561877) 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, 81377 + ... + 90902.

It is an arithmetic number, because the mean of its divisors is an integer number (112154280).

Almost surely, 2^820564877 is an apocalyptic number.

It is an amenable number.

820564877 is a deficient number, since it is larger than the sum of its proper divisors (76669363).

820564877 is a wasteful number, since it uses less digits than its factorization.

820564877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172723.

The product of its (nonzero) digits is 752640, while the sum is 47.

The square root of 820564877 is about 28645.5036087690. The cubic root of 820564877 is about 936.2050395313.

The spelling of 820564877 in words is "eight hundred twenty million, five hundred sixty-four thousand, eight hundred seventy-seven".