77379327648 has 864 divisors, whose sum is σ = 285017382720. Its totient is φ = 20353213440.

The previous prime is 77379327647. The next prime is 77379327653. The reversal of 77379327648 is 84672397377.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (77379327647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 932281015 + ... + 932281097.

It is an arithmetic number, because the mean of its divisors is an integer number (329881230).

Almost surely, 2^77379327648 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 77379327648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142508691360).

77379327648 is an abundant number, since it is smaller than the sum of its proper divisors (207638055072).

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

77379327648 is a wasteful number, since it uses less digits than its factorization.

77379327648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 175 counting only the distinct ones).

The product of its digits is 74680704, while the sum is 63.

The spelling of 77379327648 in words is "seventy-seven billion, three hundred seventy-nine million, three hundred twenty-seven thousand, six hundred forty-eight".