77213370528 has 504 divisors, whose sum is σ = 273805418880. Its totient is φ = 21339521280.

The previous prime is 77213370511. The next prime is 77213370539. The reversal of 77213370528 is 82507331277.

It is a happy number.

77213370528 is a `hidden beast` number, since 7 + 7 + 21 + 33 + 70 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 35434143 + ... + 35436321.

It is an arithmetic number, because the mean of its divisors is an integer number (543264720).

Almost surely, 2^77213370528 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 77213370528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136902709440).

77213370528 is an abundant number, since it is smaller than the sum of its proper divisors (196592048352).

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

77213370528 is a wasteful number, since it uses less digits than its factorization.

77213370528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 77213370528 in words is "seventy-seven billion, two hundred thirteen million, three hundred seventy thousand, five hundred twenty-eight".