820441307 has 16 divisors (see below), whose sum is σ = 953917440. Its totient is φ = 691116192.

The previous prime is 820441289. The next prime is 820441357. The reversal of 820441307 is 703144028.

It is a cyclic number.

It is not a de Polignac number, because 820441307 - 2²⁶ = 753332443 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820441307.

It is not an unprimeable number, because it can be changed into a prime (820441357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119993 + ... + 126645.

It is an arithmetic number, because the mean of its divisors is an integer number (59619840).

Almost surely, 2^820441307 is an apocalyptic number.

820441307 is a deficient number, since it is larger than the sum of its proper divisors (133476133).

820441307 is a wasteful number, since it uses less digits than its factorization.

820441307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 820441307 is about 28643.3466445526. The cubic root of 820441307 is about 936.1580423681.

The spelling of 820441307 in words is "eight hundred twenty million, four hundred forty-one thousand, three hundred seven".