77987448000 has 1344 divisors, whose sum is σ = 361386095616. Its totient is φ = 16174080000.

The previous prime is 77987447977. The next prime is 77987448001. The reversal of 77987448000 is 84478977.

77987448000 is a `hidden beast` number, since 7 + 7 + 98 + 74 + 480 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (77987448001) by changing a digit.

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, 149687740 + ... + 149688260.

It is an arithmetic number, because the mean of its divisors is an integer number (268888464).

Almost surely, 2^77987448000 is an apocalyptic number.

77987448000 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 77987448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180693047808).

77987448000 is an abundant number, since it is smaller than the sum of its proper divisors (283398647616).

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

77987448000 is a wasteful number, since it uses less digits than its factorization.

77987448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 77987448000 in words is "seventy-seven billion, nine hundred eighty-seven million, four hundred forty-eight thousand".