77305567104 has 128 divisors (see below), whose sum is σ = 229049200800. Its totient is φ = 25667960832.

The previous prime is 77305567081. The next prime is 77305567109. The reversal of 77305567104 is 40176550377.

77305567104 is a `hidden beast` number, since 7 + 73 + 0 + 5 + 567 + 10 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77305567104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77305567109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844674 + ... + 931710.

Almost surely, 2^77305567104 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 77305567104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114524600400).

77305567104 is an abundant number, since it is smaller than the sum of its proper divisors (151743633696).

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

77305567104 is a wasteful number, since it uses less digits than its factorization.

77305567104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87317 (or 87299 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 77305567104 in words is "seventy-seven billion, three hundred five million, five hundred sixty-seven thousand, one hundred four".