77553465705 has 24 divisors (see below), whose sum is σ = 135811849992. Its totient is φ = 40935435264.

The previous prime is 77553465697. The next prime is 77553465709. The reversal of 77553465705 is 50756435577.

It can be written as a sum of positive squares in 4 ways, for example, as 28014725376 + 49538740329 = 167376^2 + 222573^2 .

It is not a de Polignac number, because 77553465705 - 2³ = 77553465697 is a prime.

It is a super-2 number, since 2×77553465705² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77553465709) 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 23 ways as a sum of consecutive naturals, for example, 8879194 + ... + 8887923.

It is an arithmetic number, because the mean of its divisors is an integer number (5658827083).

Almost surely, 2^77553465705 is an apocalyptic number.

It is an amenable number.

77553465705 is a deficient number, since it is larger than the sum of its proper divisors (58258384287).

77553465705 is a wasteful number, since it uses less digits than its factorization.

77553465705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17767225 (or 17767222 counting only the distinct ones).

The product of its (nonzero) digits is 15435000, while the sum is 54.

The spelling of 77553465705 in words is "seventy-seven billion, five hundred fifty-three million, four hundred sixty-five thousand, seven hundred five".