87781008 has 80 divisors (see below), whose sum is σ = 262522880. Its totient is φ = 24755328.

The previous prime is 87780997. The next prime is 87781039. The reversal of 87781008 is 80018778.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24891 + ... + 28197.

It is an arithmetic number, because the mean of its divisors is an integer number (3281536).

Almost surely, 2^87781008 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 87781008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131261440).

87781008 is an abundant number, since it is smaller than the sum of its proper divisors (174741872).

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

87781008 is a wasteful number, since it uses less digits than its factorization.

87781008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 39.

The square root of 87781008 is about 9369.1519360079. The cubic root of 87781008 is about 444.4267465916.

The spelling of 87781008 in words is "eighty-seven million, seven hundred eighty-one thousand, eight".