77776605321313 has 16 divisors (see below), whose sum is σ = 82169252856000. Its totient is φ = 73413895188672.

The previous prime is 77776605321287. The next prime is 77776605321391. The reversal of 77776605321313 is 31312350667777.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77776605321313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77776605328313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125049183 + ... + 125669611.

It is an arithmetic number, because the mean of its divisors is an integer number (5135578303500).

Almost surely, 2^{77776605321313} is an apocalyptic number.

It is an amenable number.

77776605321313 is a deficient number, since it is larger than the sum of its proper divisors (4392647534687).

77776605321313 is a wasteful number, since it uses less digits than its factorization.

77776605321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644544.

The product of its (nonzero) digits is 23337720, while the sum is 58.

The spelling of 77776605321313 in words is "seventy-seven trillion, seven hundred seventy-six billion, six hundred five million, three hundred twenty-one thousand, three hundred thirteen".