87887280 has 160 divisors (see below), whose sum is σ = 310855104. Its totient is φ = 20348928.

The previous prime is 87887273. The next prime is 87887291. The reversal of 87887280 is 8278878.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52212 + ... + 53868.

Almost surely, 2^87887280 is an apocalyptic number.

87887280 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 87887280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155427552).

87887280 is an abundant number, since it is smaller than the sum of its proper divisors (222967824).

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

87887280 is a wasteful number, since it uses less digits than its factorization.

87887280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The square root of 87887280 is about 9374.8215983026. The cubic root of 87887280 is about 444.6060225473.

The spelling of 87887280 in words is "eighty-seven million, eight hundred eighty-seven thousand, two hundred eighty".