77558207328 has 576 divisors, whose sum is σ = 275448176640. Its totient is φ = 20208393216.

The previous prime is 77558207327. The next prime is 77558207357. The reversal of 77558207328 is 82370285577.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77558207327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120618975 + ... + 120619617.

It is an arithmetic number, because the mean of its divisors is an integer number (478208640).

Almost surely, 2^77558207328 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 77558207328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137724088320).

77558207328 is an abundant number, since it is smaller than the sum of its proper divisors (197889969312).

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

77558207328 is a wasteful number, since it uses less digits than its factorization.

77558207328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 77558207328 in words is "seventy-seven billion, five hundred fifty-eight million, two hundred seven thousand, three hundred twenty-eight".