77017605505764 has 384 divisors, whose sum is σ = 239955123437568. Its totient is φ = 18612829347840.

The previous prime is 77017605505759. The next prime is 77017605505777. The reversal of 77017605505764 is 46750550671077.

It is a junction number, because it is equal to n+sod(n) for n = 77017605505698 and 77017605505707.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 485753469 + ... + 485911995.

It is an arithmetic number, because the mean of its divisors is an integer number (624883133952).

Almost surely, 2^{77017605505764} 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 77017605505764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119977561718784).

77017605505764 is an abundant number, since it is smaller than the sum of its proper divisors (162937517931804).

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

77017605505764 is a wasteful number, since it uses less digits than its factorization.

77017605505764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158923 (or 158921 counting only the distinct ones).

The product of its (nonzero) digits is 43218000, while the sum is 60.

The spelling of 77017605505764 in words is "seventy-seven trillion, seventeen billion, six hundred five million, five hundred five thousand, seven hundred sixty-four".