77764611168 has 384 divisors, whose sum is σ = 243702950400. Its totient is φ = 24354432000.

The previous prime is 77764611167. The next prime is 77764611203. The reversal of 77764611168 is 86111646777.

It is a happy number.

77764611168 is a `hidden beast` number, since 7 + 7 + 7 + 6 + 4 + 611 + 16 + 8 = 666.

It is a super-2 number, since 2×77764611168² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77764611161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309819043 + ... + 309819293.

It is an arithmetic number, because the mean of its divisors is an integer number (634643100).

Almost surely, 2^77764611168 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 77764611168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121851475200).

77764611168 is an abundant number, since it is smaller than the sum of its proper divisors (165938339232).

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

77764611168 is a wasteful number, since it uses less digits than its factorization.

77764611168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 508 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 77764611168 in words is "seventy-seven billion, seven hundred sixty-four million, six hundred eleven thousand, one hundred sixty-eight".