87830080 has 112 divisors (see below), whose sum is σ = 230940864. Its totient is φ = 31610880.

The previous prime is 87830059. The next prime is 87830087. The reversal of 87830080 is 8003878.

It is not an unprimeable number, because it can be changed into a prime (87830087) 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 15 ways as a sum of consecutive naturals, for example, 178635 + ... + 179125.

It is an arithmetic number, because the mean of its divisors is an integer number (2061972).

Almost surely, 2^87830080 is an apocalyptic number.

87830080 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 87830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115470432).

87830080 is an abundant number, since it is smaller than the sum of its proper divisors (143110784).

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

87830080 is a wasteful number, since it uses less digits than its factorization.

87830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 87830080 is about 9371.7703770419. The cubic root of 87830080 is about 444.5095467596.

The spelling of 87830080 in words is "eighty-seven million, eight hundred thirty thousand, eighty".