77043019705344 has 2112 divisors, whose sum is σ = 304067010723840. Its totient is φ = 18890290298880.

The previous prime is 77043019705343. The next prime is 77043019705357. The reversal of 77043019705344 is 44350791034077.

It is a happy number.

77043019705344 is a `hidden beast` number, since 7 + 7 + 0 + 4 + 30 + 1 + 9 + 70 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is not an unprimeable number, because it can be changed into a prime (77043019705343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34813835182 + ... + 34813837394.

Almost surely, 2^{77043019705344} 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 77043019705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152033505361920).

77043019705344 is an abundant number, since it is smaller than the sum of its proper divisors (227023991018496).

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

77043019705344 is a wasteful number, since it uses less digits than its factorization.

77043019705344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 77043019705344 in words is "seventy-seven trillion, forty-three billion, nineteen million, seven hundred five thousand, three hundred forty-four".