987382760 has 128 divisors (see below), whose sum is σ = 2744824320. Its totient is φ = 311288832.

The previous prime is 987382757. The next prime is 987382811. The reversal of 987382760 is 67283789.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 987382699 and 987382708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772402 + ... + 1772958.

It is an arithmetic number, because the mean of its divisors is an integer number (21443940).

Almost surely, 2^987382760 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 987382760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372412160).

987382760 is an abundant number, since it is smaller than the sum of its proper divisors (1757441560).

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

987382760 is a wasteful number, since it uses less digits than its factorization.

987382760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 987382760 is about 31422.6472468505. The cubic root of 987382760 is about 995.7764399881.

The spelling of 987382760 in words is "nine hundred eighty-seven million, three hundred eighty-two thousand, seven hundred sixty".