77738483064576 has 288 divisors, whose sum is σ = 211406111465472. Its totient is φ = 25354582917120.

The previous prime is 77738483064569. The next prime is 77738483064587. The reversal of 77738483064576 is 67546038483777.

It is a junction number, because it is equal to n+sod(n) for n = 77738483064498 and 77738483064507.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3994157821 + ... + 3994177283.

It is an arithmetic number, because the mean of its divisors is an integer number (734048998144).

Almost surely, 2^{77738483064576} 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 77738483064576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105703055732736).

77738483064576 is an abundant number, since it is smaller than the sum of its proper divisors (133667628400896).

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

77738483064576 is a wasteful number, since it uses less digits than its factorization.

77738483064576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20119 (or 20105 counting only the distinct ones).

The product of its (nonzero) digits is 3982970880, while the sum is 75.

The spelling of 77738483064576 in words is "seventy-seven trillion, seven hundred thirty-eight billion, four hundred eighty-three million, sixty-four thousand, five hundred seventy-six".