77120642752 has 224 divisors, whose sum is σ = 168899189760. Its totient is φ = 34834821120.

The previous prime is 77120642701. The next prime is 77120642773. The reversal of 77120642752 is 25724602177.

It is a super-2 number, since 2×77120642752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77120642699 and 77120642708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461800173 + ... + 461800339.

It is an arithmetic number, because the mean of its divisors is an integer number (754014240).

Almost surely, 2^77120642752 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 77120642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84449594880).

77120642752 is an abundant number, since it is smaller than the sum of its proper divisors (91778547008).

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

77120642752 is a wasteful number, since it uses less digits than its factorization.

77120642752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 43.

The spelling of 77120642752 in words is "seventy-seven billion, one hundred twenty million, six hundred forty-two thousand, seven hundred fifty-two".