87330090880 has 256 divisors, whose sum is σ = 218867650560. Its totient is φ = 33295933440.

The previous prime is 87330090871. The next prime is 87330090889. The reversal of 87330090880 is 8809003378.

It is an interprime number because it is at equal distance from previous prime (87330090871) and next prime (87330090889).

It is a self number, because there is not a number n which added to its sum of digits gives 87330090880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87330090889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219974842 + ... + 219975238.

It is an arithmetic number, because the mean of its divisors is an integer number (854951760).

Almost surely, 2^87330090880 is an apocalyptic number.

87330090880 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 87330090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109433825280).

87330090880 is an abundant number, since it is smaller than the sum of its proper divisors (131537559680).

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

87330090880 is a wasteful number, since it uses less digits than its factorization.

87330090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 87330090880 in words is "eighty-seven billion, three hundred thirty million, ninety thousand, eight hundred eighty".