7961768766125 has 108 divisors (see below), whose sum is σ = 10807966282932. Its totient is φ = 5854742596800.

The previous prime is 7961768766101. The next prime is 7961768766139. The reversal of 7961768766125 is 5216678671697.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 178846101604 + 7782922664521 = 422902^2 + 2789789^2 .

It is not a de Polignac number, because 7961768766125 - 2¹⁸ = 7961768503981 is a prime.

Its product of digits (320060160) is a multiple of the sum of its prime divisors (420).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22177628696 + ... + 22177629054.

It is an arithmetic number, because the mean of its divisors is an integer number (100073761879).

Almost surely, 2^{7961768766125} is an apocalyptic number.

It is an amenable number.

7961768766125 is a deficient number, since it is larger than the sum of its proper divisors (2846197516807).

7961768766125 is an frugal number, since it uses more digits than its factorization.

7961768766125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 420 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 71.

The spelling of 7961768766125 in words is "seven trillion, nine hundred sixty-one billion, seven hundred sixty-eight million, seven hundred sixty-six thousand, one hundred twenty-five".