820338003677 has 8 divisors (see below), whose sum is σ = 830784810240. Its totient is φ = 809892766800.

The previous prime is 820338003601. The next prime is 820338003791. The reversal of 820338003677 is 776300833028.

It is a happy number.

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 820338003677 - 2⁸ = 820338003421 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 (820338003377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677927 + ... + 1449227.

It is an arithmetic number, because the mean of its divisors is an integer number (103848101280).

Almost surely, 2^820338003677 is an apocalyptic number.

It is an amenable number.

820338003677 is a deficient number, since it is larger than the sum of its proper divisors (10446806563).

820338003677 is a wasteful number, since it uses less digits than its factorization.

820338003677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784843.

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 820338003677 in words is "eight hundred twenty billion, three hundred thirty-eight million, three thousand, six hundred seventy-seven".