77781018163200 has 1728 divisors, whose sum is σ = 310544923852800. Its totient is φ = 16971910348800.

The previous prime is 77781018163169. The next prime is 77781018163213. The reversal of 77781018163200 is 236181018777.

It is a super-4 number, since 4×77781018163200⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15194570241 + ... + 15194575359.

It is an arithmetic number, because the mean of its divisors is an integer number (179713497600).

Almost surely, 2^{77781018163200} 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 77781018163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155272461926400).

77781018163200 is an abundant number, since it is smaller than the sum of its proper divisors (232763905689600).

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

77781018163200 is a wasteful number, since it uses less digits than its factorization.

77781018163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 51.

The spelling of 77781018163200 in words is "seventy-seven trillion, seven hundred eighty-one billion, eighteen million, one hundred sixty-three thousand, two hundred".