77757760248864 has 48 divisors (see below), whose sum is σ = 216120833637408. Its totient is φ = 24394591450112.

The previous prime is 77757760248851. The next prime is 77757760248901. The reversal of 77757760248864 is 46884206775777.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 77757760248864.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23822841582 + ... + 23822844845.

It is an arithmetic number, because the mean of its divisors is an integer number (4502517367446).

Almost surely, 2^{77757760248864} is an apocalyptic number.

It is an amenable number.

77757760248864 is an abundant number, since it is smaller than the sum of its proper divisors (138363073388544).

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

77757760248864 is a wasteful number, since it uses less digits than its factorization.

77757760248864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47645686457 (or 47645686449 counting only the distinct ones).

The product of its (nonzero) digits is 6195732480, while the sum is 78.

The spelling of 77757760248864 in words is "seventy-seven trillion, seven hundred fifty-seven billion, seven hundred sixty million, two hundred forty-eight thousand, eight hundred sixty-four".