77930849680600 has 384 divisors, whose sum is σ = 231740631936000. Its totient is φ = 23755471534080.

The previous prime is 77930849680549. The next prime is 77930849680601. The reversal of 77930849680600 is 608694803977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77930849680601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31223706 + ... + 33627094.

It is an arithmetic number, because the mean of its divisors is an integer number (603491229000).

Almost surely, 2^{77930849680600} is an apocalyptic number.

77930849680600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77930849680600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115870315968000).

77930849680600 is an abundant number, since it is smaller than the sum of its proper divisors (153809782255400).

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

77930849680600 is a wasteful number, since it uses less digits than its factorization.

77930849680600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403507 (or 2403498 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 67.

The spelling of 77930849680600 in words is "seventy-seven trillion, nine hundred thirty billion, eight hundred forty-nine million, six hundred eighty thousand, six hundred".