77687707680 has 576 divisors, whose sum is σ = 305817482880. Its totient is φ = 17761075200.

The previous prime is 77687707679. The next prime is 77687707687. The reversal of 77687707680 is 8670778677.

It is not an unprimeable number, because it can be changed into a prime (77687707687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88180840 + ... + 88181720.

It is an arithmetic number, because the mean of its divisors is an integer number (530933130).

Almost surely, 2^77687707680 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 77687707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152908741440).

77687707680 is an abundant number, since it is smaller than the sum of its proper divisors (228129775200).

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

77687707680 is a wasteful number, since it uses less digits than its factorization.

77687707680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 38723328, while the sum is 63.

The spelling of 77687707680 in words is "seventy-seven billion, six hundred eighty-seven million, seven hundred seven thousand, six hundred eighty".