77913138528720 has 800 divisors, whose sum is σ = 302969448714240. Its totient is φ = 18392914944000.

The previous prime is 77913138528683. The next prime is 77913138528721. The reversal of 77913138528720 is 2782583131977.

It is a happy number.

77913138528720 is a `hidden beast` number, since 7 + 7 + 9 + 1 + 3 + 1 + 38 + 528 + 72 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77913138528721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1581037041 + ... + 1581086319.

Almost surely, 2^{77913138528720} 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 77913138528720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151484724357120).

77913138528720 is an abundant number, since it is smaller than the sum of its proper divisors (225056310185520).

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

77913138528720 is a wasteful number, since it uses less digits than its factorization.

77913138528720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49897 (or 49882 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 77913138528720 in words is "seventy-seven trillion, nine hundred thirteen billion, one hundred thirty-eight million, five hundred twenty-eight thousand, seven hundred twenty".