7877766973696 has 243 divisors, whose sum is σ = 17089529917369. Its totient is φ = 3623877892096.

The previous prime is 7877766973691. The next prime is 7877766973697. The reversal of 7877766973696 is 6963796677787.

The square root of 7877766973696 is 2806736.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4130909911296 + 3746857062400 = 2032464^2 + 1935680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7877766973691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29953486461 + ... + 29953486723.

Almost surely, 2^{7877766973696} is an apocalyptic number.

7877766973696 is the 2806736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7877766973696

7877766973696 is an abundant number, since it is smaller than the sum of its proper divisors (9211762943673).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7877766973696 is an frugal number, since it uses more digits than its factorization.

7877766973696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 317 counting only the distinct ones).

The product of its digits is 42343959168, while the sum is 88.

The spelling of 7877766973696 in words is "seven trillion, eight hundred seventy-seven billion, seven hundred sixty-six million, nine hundred seventy-three thousand, six hundred ninety-six".