77048801863680 has 384 divisors, whose sum is σ = 252651603859200. Its totient is φ = 20037898862592.

The previous prime is 77048801863661. The next prime is 77048801863699. The reversal of 77048801863680 is 8636810884077.

It is an interprime number because it is at equal distance from previous prime (77048801863661) and next prime (77048801863699).

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 271761036 + ... + 272044404.

It is an arithmetic number, because the mean of its divisors is an integer number (657946885050).

Almost surely, 2^{77048801863680} 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 77048801863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126325801929600).

77048801863680 is an abundant number, since it is smaller than the sum of its proper divisors (175602801995520).

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

77048801863680 is a wasteful number, since it uses less digits than its factorization.

77048801863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283619 (or 283599 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 66.

The spelling of 77048801863680 in words is "seventy-seven trillion, forty-eight billion, eight hundred one million, eight hundred sixty-three thousand, six hundred eighty".