7772313830967 has 128 divisors (see below), whose sum is σ = 13547543582720. Its totient is φ = 4312716410880.

The previous prime is 7772313830959. The next prime is 7772313831013. The reversal of 7772313830967 is 7690383132777.

It is a happy number.

7772313830967 is a `hidden beast` number, since 7 + 7 + 7 + 2 + 313 + 8 + 309 + 6 + 7 = 666.

It is not a de Polignac number, because 7772313830967 - 2³ = 7772313830959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7772313830947) 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 127 ways as a sum of consecutive naturals, for example, 258278592 + ... + 258308682.

It is an arithmetic number, because the mean of its divisors is an integer number (105840184240).

Almost surely, 2^{7772313830967} is an apocalyptic number.

7772313830967 is a deficient number, since it is larger than the sum of its proper divisors (5775229751753).

7772313830967 is a wasteful number, since it uses less digits than its factorization.

7772313830967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30470 (or 30464 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 7772313830967 in words is "seven trillion, seven hundred seventy-two billion, three hundred thirteen million, eight hundred thirty thousand, nine hundred sixty-seven".