820733807 has 2 divisors, whose sum is σ = 820733808. Its totient is φ = 820733806.

The previous prime is 820733791. The next prime is 820733813. The reversal of 820733807 is 708337028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 820733807 - 2⁴ = 820733791 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820733827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410366903 + 410366904.

It is an arithmetic number, because the mean of its divisors is an integer number (410366904).

Almost surely, 2^820733807 is an apocalyptic number.

820733807 is a deficient number, since it is larger than the sum of its proper divisors (1).

820733807 is an equidigital number, since it uses as much as digits as its factorization.

820733807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 820733807 is about 28648.4520873293. The cubic root of 820733807 is about 936.2692807510.

The spelling of 820733807 in words is "eight hundred twenty million, seven hundred thirty-three thousand, eight hundred seven".