77711756316480 has 1344 divisors, whose sum is σ = 329884635225600. Its totient is φ = 16522017177600.

The previous prime is 77711756316463. The next prime is 77711756316499. The reversal of 77711756316480 is 8461365711777.

77711756316480 is a `hidden beast` number, since 7 + 7 + 7 + 1 + 1 + 7 + 563 + 1 + 64 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1411348150 + ... + 1411403210.

It is an arithmetic number, because the mean of its divisors is an integer number (245449877400).

Almost surely, 2^{77711756316480} 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 77711756316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164942317612800).

77711756316480 is an abundant number, since it is smaller than the sum of its proper divisors (252172878909120).

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

77711756316480 is a wasteful number, since it uses less digits than its factorization.

77711756316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55280 (or 55267 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 77711756316480 in words is "seventy-seven trillion, seven hundred eleven billion, seven hundred fifty-six million, three hundred sixteen thousand, four hundred eighty".