77348244444480 has 1120 divisors, whose sum is σ = 304527539036160. Its totient is φ = 18547982069760.

The previous prime is 77348244444463. The next prime is 77348244444487. The reversal of 77348244444480 is 8444444284377.

77348244444480 is a `hidden beast` number, since 7 + 7 + 34 + 82 + 4 + 4 + 4 + 44 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77348244444487) 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 159 ways as a sum of consecutive naturals, for example, 1483816177 + ... + 1483868303.

Almost surely, 2^{77348244444480} 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 77348244444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152263769518080).

77348244444480 is an abundant number, since it is smaller than the sum of its proper divisors (227179294591680).

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

77348244444480 is a wasteful number, since it uses less digits than its factorization.

77348244444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52329 (or 52310 counting only the distinct ones).

The product of its (nonzero) digits is 308281344, while the sum is 63.

The spelling of 77348244444480 in words is "seventy-seven trillion, three hundred forty-eight billion, two hundred forty-four million, four hundred forty-four thousand, four hundred eighty".