7082820282807 has 16 divisors (see below), whose sum is σ = 10776663494880. Its totient is φ = 4594261804416.

The previous prime is 7082820282803. The next prime is 7082820282823.

7082820282807 is a `hidden beast` number, since 7 + 0 + 8 + 282 + 0 + 282 + 80 + 7 = 666.

7082820282807 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7082820282807 - 2² = 7082820282803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7082820282803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3544954098 + ... + 3544956095.

It is an arithmetic number, because the mean of its divisors is an integer number (673541468430).

Almost surely, 2^{7082820282807} is an apocalyptic number.

7082820282807 is a deficient number, since it is larger than the sum of its proper divisors (3693843212073).

7082820282807 is a wasteful number, since it uses less digits than its factorization.

7082820282807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7089910239 (or 7089910233 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 7082820282807 in words is "seven trillion, eighty-two billion, eight hundred twenty million, two hundred eighty-two thousand, eight hundred seven".