987907760 has 80 divisors (see below), whose sum is σ = 2631528000. Its totient is φ = 337870848.

The previous prime is 987907747. The next prime is 987907769. The reversal of 987907760 is 67709789.

It is a happy number.

It is a Cunningham number, because it is equal to 31431²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (987907769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249476 + ... + 253404.

It is an arithmetic number, because the mean of its divisors is an integer number (32894100).

Almost surely, 2^987907760 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 987907760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315764000).

987907760 is an abundant number, since it is smaller than the sum of its proper divisors (1643620240).

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

987907760 is a wasteful number, since it uses less digits than its factorization.

987907760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 53.

The square root of 987907760 is about 31430.9999840921. Note that the first 4 decimals coincide. The cubic root of 987907760 is about 995.9528963815.

The spelling of 987907760 in words is "nine hundred eighty-seven million, nine hundred seven thousand, seven hundred sixty".