87858800 has 30 divisors (see below), whose sum is σ = 211081728. Its totient is φ = 35143360.

The previous prime is 87858779. The next prime is 87858821. The reversal of 87858800 is 885878.

It is an interprime number because it is at equal distance from previous prime (87858779) and next prime (87858821).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109424 + ... + 110223.

Almost surely, 2^87858800 is an apocalyptic number.

87858800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87858800 is an abundant number, since it is smaller than the sum of its proper divisors (123222928).

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

87858800 is a wasteful number, since it uses less digits than its factorization.

87858800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219665 (or 219654 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 44.

The square root of 87858800 is about 9373.3025129887. The cubic root of 87858800 is about 444.5579922843.

The spelling of 87858800 in words is "eighty-seven million, eight hundred fifty-eight thousand, eight hundred".