77548868796480 has 448 divisors, whose sum is σ = 256110980751360. Its totient is φ = 19866107289600.

The previous prime is 77548868796461. The next prime is 77548868796491. The reversal of 77548868796480 is 8469786884577.

It is a super-2 number, since 2×77548868796480² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1759612845 + ... + 1759656915.

It is an arithmetic number, because the mean of its divisors is an integer number (571676296320).

Almost surely, 2^{77548868796480} 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 77548868796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128055490375680).

77548868796480 is an abundant number, since it is smaller than the sum of its proper divisors (178562111954880).

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

77548868796480 is a wasteful number, since it uses less digits than its factorization.

77548868796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44858 (or 44848 counting only the distinct ones).

The product of its (nonzero) digits is 36415733760, while the sum is 87.

The spelling of 77548868796480 in words is "seventy-seven trillion, five hundred forty-eight billion, eight hundred sixty-eight million, seven hundred ninety-six thousand, four hundred eighty".