77643257328 has 360 divisors, whose sum is σ = 272809476576. Its totient is φ = 20432563200.

The previous prime is 77643257317. The next prime is 77643257359. The reversal of 77643257328 is 82375234677.

77643257328 is a `hidden beast` number, since 7 + 7 + 6 + 43 + 2 + 573 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75308173 + ... + 75309203.

Almost surely, 2^77643257328 is an apocalyptic number.

77643257328 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77643257328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136404738288).

77643257328 is an abundant number, since it is smaller than the sum of its proper divisors (195166219248).

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

77643257328 is a wasteful number, since it uses less digits than its factorization.

77643257328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1877 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

It can be divided in two parts, 7764325 and 7328, that added together give a triangular number (7771653 = T₃₉₄₂).

The spelling of 77643257328 in words is "seventy-seven billion, six hundred forty-three million, two hundred fifty-seven thousand, three hundred twenty-eight".