77689379209104 has 1600 divisors, whose sum is σ = 274165427289600. Its totient is φ = 21004773064704.

The previous prime is 77689379209087. The next prime is 77689379209213. The reversal of 77689379209104 is 40190297398677.

77689379209104 is a `hidden beast` number, since 7 + 76 + 89 + 379 + 2 + 0 + 9 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 34729269874 + ... + 34729272110.

It is an arithmetic number, because the mean of its divisors is an integer number (171353392056).

Almost surely, 2^{77689379209104} 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 77689379209104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137082713644800).

77689379209104 is an abundant number, since it is smaller than the sum of its proper divisors (196476048080496).

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

77689379209104 is a wasteful number, since it uses less digits than its factorization.

77689379209104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 77689379209104 in words is "seventy-seven trillion, six hundred eighty-nine billion, three hundred seventy-nine million, two hundred nine thousand, one hundred four".