77600817537768 has 144 divisors (see below), whose sum is σ = 247576879368000. Its totient is φ = 21891008123712.

The previous prime is 77600817537643. The next prime is 77600817537829. The reversal of 77600817537768 is 86773571800677.

77600817537768 is a `hidden beast` number, since 7 + 7 + 6 + 0 + 0 + 8 + 17 + 537 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 77600817537696 and 77600817537705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138934558 + ... + 139491981.

It is an arithmetic number, because the mean of its divisors is an integer number (1719283884500).

Almost surely, 2^{77600817537768} is an apocalyptic number.

It is an amenable number.

77600817537768 is an abundant number, since it is smaller than the sum of its proper divisors (169976061830232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77600817537768 is a wasteful number, since it uses less digits than its factorization.

77600817537768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278426644 (or 278426630 counting only the distinct ones).

The product of its (nonzero) digits is 580849920, while the sum is 72.

The spelling of 77600817537768 in words is "seventy-seven trillion, six hundred billion, eight hundred seventeen million, five hundred thirty-seven thousand, seven hundred sixty-eight".