77059441368 has 640 divisors, whose sum is σ = 282640512000. Its totient is φ = 19046845440.

The previous prime is 77059441357. The next prime is 77059441373. The reversal of 77059441368 is 86314495077.

77059441368 is a `hidden beast` number, since 7 + 7 + 0 + 594 + 41 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×77059441368² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 122122413 + ... + 122123043.

It is an arithmetic number, because the mean of its divisors is an integer number (441625800).

Almost surely, 2^77059441368 is an apocalyptic number.

77059441368 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 77059441368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141320256000).

77059441368 is an abundant number, since it is smaller than the sum of its proper divisors (205581070632).

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

77059441368 is a wasteful number, since it uses less digits than its factorization.

77059441368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 77059441368 in words is "seventy-seven billion, fifty-nine million, four hundred forty-one thousand, three hundred sixty-eight".