77786376875584 has 112 divisors (see below), whose sum is σ = 166783098081600. Its totient is φ = 35782200723456.

The previous prime is 77786376875567. The next prime is 77786376875671. The reversal of 77786376875584 is 48557867368777.

It is a junction number, because it is equal to n+sod(n) for n = 77786376875495 and 77786376875504.

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 15 ways as a sum of consecutive naturals, for example, 1851198127 + ... + 1851240145.

It is an arithmetic number, because the mean of its divisors is an integer number (1489134804300).

Almost surely, 2^{77786376875584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77786376875584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83391549040800).

77786376875584 is an abundant number, since it is smaller than the sum of its proper divisors (88996721206016).

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

77786376875584 is a wasteful number, since it uses less digits than its factorization.

77786376875584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49380 (or 49370 counting only the distinct ones).

The product of its digits is 92935987200, while the sum is 88.

The spelling of 77786376875584 in words is "seventy-seven trillion, seven hundred eighty-six billion, three hundred seventy-six million, eight hundred seventy-five thousand, five hundred eighty-four".