77765359945728 has 1536 divisors, whose sum is σ = 284245610987520. Its totient is φ = 18311911833600.

The previous prime is 77765359945699. The next prime is 77765359945739. The reversal of 77765359945728 is 82754995356777.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (84).

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, 27763425928 + ... + 27763428728.

It is an arithmetic number, because the mean of its divisors is an integer number (185055736320).

Almost surely, 2^{77765359945728} is an apocalyptic number.

77765359945728 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 77765359945728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142122805493760).

77765359945728 is an abundant number, since it is smaller than the sum of its proper divisors (206480251041792).

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

77765359945728 is a wasteful number, since it uses less digits than its factorization.

77765359945728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 2993 counting only the distinct ones).

The product of its digits is 28005264000, while the sum is 84.

The spelling of 77765359945728 in words is "seventy-seven trillion, seven hundred sixty-five billion, three hundred fifty-nine million, nine hundred forty-five thousand, seven hundred twenty-eight".