77530060786560 has 128 divisors (see below), whose sum is σ = 247131785410560. Its totient is φ = 20674288281600.

The previous prime is 77530060786537. The next prime is 77530060786561. The reversal of 77530060786560 is 6568706003577.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×77530060786560³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 77530060786494 and 77530060786503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77530060786561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108205485 + ... + 108919635.

It is an arithmetic number, because the mean of its divisors is an integer number (1930717073520).

Almost surely, 2^{77530060786560} is an apocalyptic number.

It is an amenable number.

77530060786560 is an abundant number, since it is smaller than the sum of its proper divisors (169601724624000).

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

77530060786560 is a wasteful number, since it uses less digits than its factorization.

77530060786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770716 (or 770704 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 60.

The spelling of 77530060786560 in words is "seventy-seven trillion, five hundred thirty billion, sixty million, seven hundred eighty-six thousand, five hundred sixty".