77977466345 has 16 divisors (see below), whose sum is σ = 99109455120. Its totient is φ = 58693361664.

The previous prime is 77977466317. The next prime is 77977466389. The reversal of 77977466345 is 54366477977.

It can be written as a sum of positive squares in 8 ways, for example, as 9381665881 + 68595800464 = 96859^2 + 261908^2 .

It is a cyclic number.

It is not a de Polignac number, because 77977466345 - 2¹² = 77977462249 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116729 + ... + 411801.

It is an arithmetic number, because the mean of its divisors is an integer number (6194340945).

Almost surely, 2^77977466345 is an apocalyptic number.

It is an amenable number.

77977466345 is a deficient number, since it is larger than the sum of its proper divisors (21131988775).

77977466345 is a wasteful number, since it uses less digits than its factorization.

77977466345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298204.

The product of its digits is 186701760, while the sum is 65.

The spelling of 77977466345 in words is "seventy-seven billion, nine hundred seventy-seven million, four hundred sixty-six thousand, three hundred forty-five".