87788666880 has 720 divisors, whose sum is σ = 329762893824. Its totient is φ = 21540372480.

The previous prime is 87788666851. The next prime is 87788666881. The reversal of 87788666880 is 8866688778.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 87788666799 and 87788666808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87788666881) 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 47 ways as a sum of consecutive naturals, for example, 525680557 + ... + 525680723.

Almost surely, 2^87788666880 is an apocalyptic number.

87788666880 is a gapful number since it is divisible by the number (80) 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 87788666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164881446912).

87788666880 is an abundant number, since it is smaller than the sum of its proper divisors (241974226944).

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

87788666880 is a wasteful number, since it uses less digits than its factorization.

87788666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 87788666880 in words is "eighty-seven billion, seven hundred eighty-eight million, six hundred sixty-six thousand, eight hundred eighty".