77838373536768 has 440 divisors, whose sum is σ = 265045453834392. Its totient is φ = 22541424132096.

The previous prime is 77838373536743. The next prime is 77838373536769. The reversal of 77838373536768 is 86763537383877.

77838373536768 is a `hidden beast` number, since 7 + 7 + 8 + 3 + 8 + 3 + 7 + 3 + 536 + 76 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7460502257664 + 70377871279104 = 2731392^2 + 8389152^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (77838373536769) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 16207446 + ... + 20453802.

Almost surely, 2^{77838373536768} is an apocalyptic number.

77838373536768 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 77838373536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132522726917196).

77838373536768 is an abundant number, since it is smaller than the sum of its proper divisors (187207080297624).

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

77838373536768 is a wasteful number, since it uses less digits than its factorization.

77838373536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246419 (or 4246392 counting only the distinct ones).

The product of its digits is 17923368960, while the sum is 81.

The spelling of 77838373536768 in words is "seventy-seven trillion, eight hundred thirty-eight billion, three hundred seventy-three million, five hundred thirty-six thousand, seven hundred sixty-eight".