820077001 has 2 divisors, whose sum is σ = 820077002. Its totient is φ = 820077000.

The previous prime is 820076911. The next prime is 820077017. The reversal of 820077001 is 100770028.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 520752400 + 299324601 = 22820^2 + 17301^2 .

It is a cyclic number.

It is not a de Polignac number, because 820077001 - 2⁹ = 820076489 is a prime.

It is not a weakly prime, because it can be changed into another prime (820071001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410038500 + 410038501.

It is an arithmetic number, because the mean of its divisors is an integer number (410038501).

Almost surely, 2^820077001 is an apocalyptic number.

It is an amenable number.

820077001 is a deficient number, since it is larger than the sum of its proper divisors (1).

820077001 is an equidigital number, since it uses as much as digits as its factorization.

820077001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 820077001 is about 28636.9865907710. The cubic root of 820077001 is about 936.0194590306.

The spelling of 820077001 in words is "eight hundred twenty million, seventy-seven thousand, one".