77848330560 has 1344 divisors, whose sum is σ = 344647747584. Its totient is φ = 14631321600.

The previous prime is 77848330499. The next prime is 77848330579. The reversal of 77848330560 is 6503384877.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 477597039 + ... + 477597201.

It is an arithmetic number, because the mean of its divisors is an integer number (256434336).

Almost surely, 2^77848330560 is an apocalyptic number.

77848330560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77848330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172323873792).

77848330560 is an abundant number, since it is smaller than the sum of its proper divisors (266799417024).

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

77848330560 is a wasteful number, since it uses less digits than its factorization.

77848330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 77848330560 in words is "seventy-seven billion, eight hundred forty-eight million, three hundred thirty thousand, five hundred sixty".