77135300000000 has 324 divisors, whose sum is σ = 209961009687408. Its totient is φ = 28048800000000.

The previous prime is 77135299999999. The next prime is 77135300000009. The reversal of 77135300000000 is 353177.

It is not an unprimeable number, because it can be changed into a prime (77135300000009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1099964939 + ... + 1100035061.

Almost surely, 2^{77135300000000} 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 77135300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104980504843704).

77135300000000 is an abundant number, since it is smaller than the sum of its proper divisors (132825709687408).

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

77135300000000 is an frugal number, since it uses more digits than its factorization.

77135300000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70190 (or 70141 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 26.

Adding to 77135300000000 its reverse (353177), we get a palindrome (77135300353177).

The spelling of 77135300000000 in words is "seventy-seven trillion, one hundred thirty-five billion, three hundred million", and thus it is an aban number.