77680686080 has 176 divisors, whose sum is σ = 192184904016. Its totient is φ = 30108549120.

The previous prime is 77680686053. The next prime is 77680686107. The reversal of 77680686080 is 8068608677.

It is an interprime number because it is at equal distance from previous prime (77680686053) and next prime (77680686107).

It can be written as a sum of positive squares in 8 ways, for example, as 27116867584 + 50563818496 = 164672^2 + 224864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32956262 + ... + 32958618.

Almost surely, 2^77680686080 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 77680686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96092452008).

77680686080 is an abundant number, since it is smaller than the sum of its proper divisors (114504217936).

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

77680686080 is a wasteful number, since it uses less digits than its factorization.

77680686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 77680686080 in words is "seventy-seven billion, six hundred eighty million, six hundred eighty-six thousand, eighty".