77789352960 has 792 divisors, whose sum is σ = 304665719904. Its totient is φ = 18197544960.

The previous prime is 77789352959. The next prime is 77789353051. The reversal of 77789352960 is 6925398777.

It is a tau number, because it is divible by the number of its divisors (792).

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 71 ways as a sum of consecutive naturals, for example, 937221079 + ... + 937221161.

Almost surely, 2^77789352960 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 77789352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152332859952).

77789352960 is an abundant number, since it is smaller than the sum of its proper divisors (226876366944).

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

77789352960 is a wasteful number, since it uses less digits than its factorization.

77789352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 77789352960 in words is "seventy-seven billion, seven hundred eighty-nine million, three hundred fifty-two thousand, nine hundred sixty".