77520720797136 has 120 divisors (see below), whose sum is σ = 218348248262144. Its totient is φ = 25673765495040.

The previous prime is 77520720797131. The next prime is 77520720797159. The reversal of 77520720797136 is 63179702702577.

77520720797136 is a `hidden beast` number, since 7 + 7 + 5 + 207 + 207 + 97 + 136 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77520720797131) 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 23 ways as a sum of consecutive naturals, for example, 326137245 + ... + 326374851.

Almost surely, 2^{77520720797136} 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 77520720797136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109174124131072).

77520720797136 is an abundant number, since it is smaller than the sum of its proper divisors (140827527465008).

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

77520720797136 is a wasteful number, since it uses less digits than its factorization.

77520720797136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252209 (or 252200 counting only the distinct ones).

The product of its (nonzero) digits is 54454680, while the sum is 63.

The spelling of 77520720797136 in words is "seventy-seven trillion, five hundred twenty billion, seven hundred twenty million, seven hundred ninety-seven thousand, one hundred thirty-six".