77056617348 has 36 divisors (see below), whose sum is σ = 194897210508. Its totient is φ = 25670347200.

The previous prime is 77056617347. The next prime is 77056617367. The reversal of 77056617348 is 84371665077.

77056617348 is a `hidden beast` number, since 7 + 7 + 0 + 566 + 1 + 73 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32382722304 + 44673895044 = 179952^2 + 211362^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 77056617294 and 77056617303.

It is not an unprimeable number, because it can be changed into a prime (77056617347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571203 + ... + 693098.

It is an arithmetic number, because the mean of its divisors is an integer number (5413811403).

Almost surely, 2^77056617348 is an apocalyptic number.

It is an amenable number.

77056617348 is an abundant number, since it is smaller than the sum of its proper divisors (117840593160).

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

77056617348 is a wasteful number, since it uses less digits than its factorization.

77056617348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266004 (or 1265999 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 77056617348 in words is "seventy-seven billion, fifty-six million, six hundred seventeen thousand, three hundred forty-eight".