77714632728 has 192 divisors, whose sum is σ = 228006005760. Its totient is φ = 23819762688.

The previous prime is 77714632687. The next prime is 77714632729. The reversal of 77714632728 is 82723641777.

77714632728 is a `hidden beast` number, since 77 + 71 + 463 + 27 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77714632729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51026575 + ... + 51028097.

It is an arithmetic number, because the mean of its divisors is an integer number (1187531280).

Almost surely, 2^77714632728 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 77714632728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114003002880).

77714632728 is an abundant number, since it is smaller than the sum of its proper divisors (150291373032).

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

77714632728 is a wasteful number, since it uses less digits than its factorization.

77714632728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2479 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 77714632728 in words is "seventy-seven billion, seven hundred fourteen million, six hundred thirty-two thousand, seven hundred twenty-eight".