77786380057257 has 6 divisors (see below), whose sum is σ = 112358104527162. Its totient is φ = 51857586704832.

The previous prime is 77786380057219. The next prime is 77786380057273. The reversal of 77786380057257 is 75275008368777.

77786380057257 is a `hidden beast` number, since 7 + 77 + 86 + 380 + 0 + 57 + 2 + 57 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77595292174761 + 191087882496 = 8808819^2 + 437136^2 .

It is not a de Polignac number, because 77786380057257 - 2¹⁰ = 77786380056233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77786380057357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4321465558728 + ... + 4321465558745.

It is an arithmetic number, because the mean of its divisors is an integer number (18726350754527).

Almost surely, 2^{77786380057257} is an apocalyptic number.

It is an amenable number.

77786380057257 is a deficient number, since it is larger than the sum of its proper divisors (34571724469905).

77786380057257 is a wasteful number, since it uses less digits than its factorization.

77786380057257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8642931117479 (or 8642931117476 counting only the distinct ones).

The product of its (nonzero) digits is 968083200, while the sum is 72.

The spelling of 77786380057257 in words is "seventy-seven trillion, seven hundred eighty-six billion, three hundred eighty million, fifty-seven thousand, two hundred fifty-seven".