7772131705 has 24 divisors (see below), whose sum is σ = 10106057880. Its totient is φ = 5735508480.

The previous prime is 7772131691. The next prime is 7772131709. The reversal of 7772131705 is 5071312777.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5335425936 + 2436705769 = 73044^2 + 49363^2 .

It is not a de Polignac number, because 7772131705 - 2¹⁵ = 7772098937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7772131709) 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 23 ways as a sum of consecutive naturals, for example, 1976181 + ... + 1980109.

It is an arithmetic number, because the mean of its divisors is an integer number (421085745).

Almost surely, 2^7772131705 is an apocalyptic number.

It is an amenable number.

7772131705 is a deficient number, since it is larger than the sum of its proper divisors (2333926175).

7772131705 is a wasteful number, since it uses less digits than its factorization.

7772131705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6301 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 72030, while the sum is 40.

The square root of 7772131705 is about 88159.6943336353. The cubic root of 7772131705 is about 1980.8277755902.

The spelling of 7772131705 in words is "seven billion, seven hundred seventy-two million, one hundred thirty-one thousand, seven hundred five".