77522340168 has 384 divisors, whose sum is σ = 269668089600. Its totient is φ = 20437567488.

The previous prime is 77522340143. The next prime is 77522340191. The reversal of 77522340168 is 86104322577.

77522340168 is a `hidden beast` number, since 77 + 522 + 3 + 40 + 16 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29895480 + ... + 29898072.

It is an arithmetic number, because the mean of its divisors is an integer number (702260650).

Almost surely, 2^77522340168 is an apocalyptic number.

77522340168 is a gapful number since it is divisible by the number (78) 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 77522340168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134834044800).

77522340168 is an abundant number, since it is smaller than the sum of its proper divisors (192145749432).

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

77522340168 is a wasteful number, since it uses less digits than its factorization.

77522340168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 77522340168 in words is "seventy-seven billion, five hundred twenty-two million, three hundred forty thousand, one hundred sixty-eight".