77756351442 has 256 divisors, whose sum is σ = 213109678080. Its totient is φ = 18289152000.

The previous prime is 77756351437. The next prime is 77756351461. The reversal of 77756351442 is 24415365777.

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

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 127 ways as a sum of consecutive naturals, for example, 110921692 + ... + 110922392.

It is an arithmetic number, because the mean of its divisors is an integer number (832459680).

Almost surely, 2^77756351442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77756351442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106554839040).

77756351442 is an abundant number, since it is smaller than the sum of its proper divisors (135353326638).

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

77756351442 is a wasteful number, since it uses less digits than its factorization.

77756351442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257.

The product of its digits is 4939200, while the sum is 51.

The spelling of 77756351442 in words is "seventy-seven billion, seven hundred fifty-six million, three hundred fifty-one thousand, four hundred forty-two".