77834342688 has 384 divisors, whose sum is σ = 234426286080. Its totient is φ = 22481141760.

The previous prime is 77834342683. The next prime is 77834342693. The reversal of 77834342688 is 88624343877.

It is an interprime number because it is at equal distance from previous prime (77834342683) and next prime (77834342693).

It is not an unprimeable number, because it can be changed into a prime (77834342683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126149356 + ... + 126149972.

It is an arithmetic number, because the mean of its divisors is an integer number (610485120).

Almost surely, 2^77834342688 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 77834342688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117213143040).

77834342688 is an abundant number, since it is smaller than the sum of its proper divisors (156591943392).

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

77834342688 is a wasteful number, since it uses less digits than its factorization.

77834342688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 792 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 60.

The spelling of 77834342688 in words is "seventy-seven billion, eight hundred thirty-four million, three hundred forty-two thousand, six hundred eighty-eight".