77757347831013 has 80 divisors (see below), whose sum is σ = 119988214030080. Its totient is φ = 50153573606400.

The previous prime is 77757347831003. The next prime is 77757347831021. The reversal of 77757347831013 is 31013874375777.

It is a happy number.

77757347831013 is a `hidden beast` number, since 7 + 7 + 7 + 57 + 3 + 478 + 3 + 101 + 3 = 666.

It is not a de Polignac number, because 77757347831013 - 2²⁸ = 77757079395557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77757347831003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1599559078 + ... + 1599607688.

It is an arithmetic number, because the mean of its divisors is an integer number (1499852675376).

Almost surely, 2^{77757347831013} is an apocalyptic number.

It is an amenable number.

77757347831013 is a deficient number, since it is larger than the sum of its proper divisors (42230866199067).

77757347831013 is a wasteful number, since it uses less digits than its factorization.

77757347831013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53480 (or 53471 counting only the distinct ones).

The product of its (nonzero) digits is 72606240, while the sum is 63.

The spelling of 77757347831013 in words is "seventy-seven trillion, seven hundred fifty-seven billion, three hundred forty-seven million, eight hundred thirty-one thousand, thirteen".