77948284977 has 12 divisors (see below), whose sum is σ = 112794114420. Its totient is φ = 51872224608.

The previous prime is 77948284963. The next prime is 77948284979.

77948284977 is a `hidden beast` number, since 7 + 79 + 48 + 28 + 497 + 7 = 666.

77948284977 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 44286677136 + 33661607841 = 210444^2 + 183471^2 .

It is not a de Polignac number, because 77948284977 - 2¹⁶ = 77948219441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77948284979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7769602 + ... + 7779627.

It is an arithmetic number, because the mean of its divisors is an integer number (9399509535).

Almost surely, 2^77948284977 is an apocalyptic number.

It is an amenable number.

77948284977 is a deficient number, since it is larger than the sum of its proper divisors (34845829443).

77948284977 is a wasteful number, since it uses less digits than its factorization.

77948284977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15549792 (or 15549789 counting only the distinct ones).

The product of its digits is 398297088, while the sum is 72.

The spelling of 77948284977 in words is "seventy-seven billion, nine hundred forty-eight million, two hundred eighty-four thousand, nine hundred seventy-seven".