77761663567380 has 144 divisors (see below), whose sum is σ = 257081934170880. Its totient is φ = 18910714058496.

The previous prime is 77761663567349. The next prime is 77761663567387. The reversal of 77761663567380 is 8376536616777.

77761663567380 is a `hidden beast` number, since 7 + 7 + 76 + 1 + 66 + 356 + 73 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 77761663567299 and 77761663567308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77761663567387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199995420 + ... + 200383859.

It is an arithmetic number, because the mean of its divisors is an integer number (1785291209520).

Almost surely, 2^{77761663567380} is an apocalyptic number.

It is an amenable number.

77761663567380 is an abundant number, since it is smaller than the sum of its proper divisors (179320270603500).

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

77761663567380 is a wasteful number, since it uses less digits than its factorization.

77761663567380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400379390 (or 400379385 counting only the distinct ones).

The product of its (nonzero) digits is 1120210560, while the sum is 72.

The spelling of 77761663567380 in words is "seventy-seven trillion, seven hundred sixty-one billion, six hundred sixty-three million, five hundred sixty-seven thousand, three hundred eighty".