7782005313 has 16 divisors (see below), whose sum is σ = 12135681600. Its totient is φ = 4914950400.

The previous prime is 7782005267. The next prime is 7782005321. The reversal of 7782005313 is 3135002877.

It is not a de Polignac number, because 7782005313 - 2¹⁰ = 7782004289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7782000313) 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, 7584288 + ... + 7585313.

It is an arithmetic number, because the mean of its divisors is an integer number (758480100).

Almost surely, 2^7782005313 is an apocalyptic number.

It is an amenable number.

7782005313 is a deficient number, since it is larger than the sum of its proper divisors (4353676287).

7782005313 is a wasteful number, since it uses less digits than its factorization.

7782005313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15169629 (or 15169623 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7782005313 is about 88215.6749846647. The cubic root of 7782005313 is about 1981.6662259887. Note that the first 3 decimals are identical.

The spelling of 7782005313 in words is "seven billion, seven hundred eighty-two million, five thousand, three hundred thirteen".