77817268320 has 576 divisors, whose sum is σ = 284944988160. Its totient is φ = 17808609280.

The previous prime is 77817268313. The next prime is 77817268343. The reversal of 77817268320 is 2386271877.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79162549 + ... + 79163531.

It is an arithmetic number, because the mean of its divisors is an integer number (494696160).

Almost surely, 2^77817268320 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 77817268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142472494080).

77817268320 is an abundant number, since it is smaller than the sum of its proper divisors (207127719840).

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

77817268320 is a wasteful number, since it uses less digits than its factorization.

77817268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 77817268320 in words is "seventy-seven billion, eight hundred seventeen million, two hundred sixty-eight thousand, three hundred twenty".