87704285760 has 1680 divisors, whose sum is σ = 409182149376. Its totient is φ = 17360510976.

The previous prime is 87704285723. The next prime is 87704285777. The reversal of 87704285760 is 6758240778.

It is a happy number.

87704285760 is a `hidden beast` number, since 87 + 70 + 428 + 5 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a junction number, because it is equal to n+sod(n) for n = 87704285697 and 87704285706.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 851497869 + ... + 851497971.

Almost surely, 2^87704285760 is an apocalyptic number.

87704285760 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 87704285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204591074688).

87704285760 is an abundant number, since it is smaller than the sum of its proper divisors (321477863616).

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

87704285760 is a wasteful number, since it uses less digits than its factorization.

87704285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 87704285760 in words is "eighty-seven billion, seven hundred four million, two hundred eighty-five thousand, seven hundred sixty".