820707045 has 64 divisors (see below), whose sum is σ = 1486646784. Its totient is φ = 384327680.

The previous prime is 820707029. The next prime is 820707059. The reversal of 820707045 is 540707028.

It is not a de Polignac number, because 820707045 - 2⁴ = 820707029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 820706997 and 820707015.

It is a congruent number.

It is an unprimeable number.

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 in 63 ways as a sum of consecutive naturals, for example, 238759 + ... + 242171.

It is an arithmetic number, because the mean of its divisors is an integer number (23228856).

Almost surely, 2^820707045 is an apocalyptic number.

820707045 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

820707045 is a deficient number, since it is larger than the sum of its proper divisors (665939739).

820707045 is a wasteful number, since it uses less digits than its factorization.

820707045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502.

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 820707045 is about 28647.9850076755. The cubic root of 820707045 is about 936.2591042030.

The spelling of 820707045 in words is "eight hundred twenty million, seven hundred seven thousand, forty-five".