77705526528 has 540 divisors, whose sum is σ = 278340408192. Its totient is φ = 21476689920.

The previous prime is 77705526527. The next prime is 77705526571. The reversal of 77705526528 is 82562550777.

77705526528 is a `hidden beast` number, since 7 + 7 + 7 + 0 + 552 + 65 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77705526527) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31496751 + ... + 31499217.

Almost surely, 2^77705526528 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 77705526528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139170204096).

77705526528 is an abundant number, since it is smaller than the sum of its proper divisors (200634881664).

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

77705526528 is a wasteful number, since it uses less digits than its factorization.

77705526528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 77705526528 in words is "seventy-seven billion, seven hundred five million, five hundred twenty-six thousand, five hundred twenty-eight".