77829327680 has 112 divisors (see below), whose sum is σ = 206469965520. Its totient is φ = 27746009088.

The previous prime is 77829327671. The next prime is 77829327701. The reversal of 77829327680 is 8672392877.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18422089984 + 59407237696 = 135728^2 + 243736^2 .

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, 201929 + ... + 443208.

It is an arithmetic number, because the mean of its divisors is an integer number (1843481835).

Almost surely, 2^77829327680 is an apocalyptic number.

It is an amenable number.

77829327680 is an abundant number, since it is smaller than the sum of its proper divisors (128640637840).

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

77829327680 is a wasteful number, since it uses less digits than its factorization.

77829327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645196 (or 645186 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 59.

The spelling of 77829327680 in words is "seventy-seven billion, eight hundred twenty-nine million, three hundred twenty-seven thousand, six hundred eighty".