77377129657856 has 160 divisors (see below), whose sum is σ = 182417577289728. Its totient is φ = 32086859857920.

The previous prime is 77377129657819. The next prime is 77377129657889. The reversal of 77377129657856 is 65875692177377.

77377129657856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754678211 + ... + 754780733.

Almost surely, 2^{77377129657856} 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 77377129657856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91208788644864).

77377129657856 is an abundant number, since it is smaller than the sum of its proper divisors (105040447631872).

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

77377129657856 is a wasteful number, since it uses less digits than its factorization.

77377129657856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109372 (or 109356 counting only the distinct ones).

The product of its digits is 6534561600, while the sum is 80.

The spelling of 77377129657856 in words is "seventy-seven trillion, three hundred seventy-seven billion, one hundred twenty-nine million, six hundred fifty-seven thousand, eight hundred fifty-six".