7977883761 has 27 divisors (see below), whose sum is σ = 12169803321. Its totient is φ = 5035447944.

The previous prime is 7977883747. The next prime is 7977883807. The reversal of 7977883761 is 1673887797.

The square root of 7977883761 is 89319.

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

7977883761 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7977883761 - 2¹⁹ = 7977359473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7977883741) 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 26 ways as a sum of consecutive naturals, for example, 5090400 + ... + 5091966.

Almost surely, 2^7977883761 is an apocalyptic number.

7977883761 is the 89319-th square number.

7977883761 is the 44660-th centered octagonal number.

It is an amenable number.

7977883761 is a deficient number, since it is larger than the sum of its proper divisors (4191919560).

7977883761 is an equidigital number, since it uses as much as digits as its factorization.

7977883761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 1589 counting only the distinct ones).

The product of its digits is 24893568, while the sum is 63.

The cubic root of 7977883761 is about 1998.1552791089.

The spelling of 7977883761 in words is "seven billion, nine hundred seventy-seven million, eight hundred eighty-three thousand, seven hundred sixty-one".