87808280 has 128 divisors (see below), whose sum is σ = 236234880. Its totient is φ = 28753920.

The previous prime is 87808243. The next prime is 87808307. The reversal of 87808280 is 8280878.

It is a super-3 number, since 3×87808280³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905192 + ... + 905288.

It is an arithmetic number, because the mean of its divisors is an integer number (1845585).

It is the magic constant of a 560 × 560 magic square.

Almost surely, 2^87808280 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 87808280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

87808280 is an abundant number, since it is smaller than the sum of its proper divisors (148426600).

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

87808280 is a wasteful number, since it uses less digits than its factorization.

87808280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 41.

The square root of 87808280 is about 9370.6072375274. The cubic root of 87808280 is about 444.4727669914.

It can be divided in two parts, 87808 and 280, that added together give a palindrome (88088).

The spelling of 87808280 in words is "eighty-seven million, eight hundred eight thousand, two hundred eighty".