87258800 has 90 divisors (see below), whose sum is σ = 217574244. Its totient is φ = 33628800.

The previous prime is 87258799. The next prime is 87258851. The reversal of 87258800 is 885278.

It is a super-2 number, since 2×87258800² = 15228196354880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 384287 + ... + 384513.

Almost surely, 2^87258800 is an apocalyptic number.

87258800 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 87258800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108787122).

87258800 is an abundant number, since it is smaller than the sum of its proper divisors (130315444).

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

87258800 is a wasteful number, since it uses less digits than its factorization.

87258800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 87258800 is about 9341.2418874580. The cubic root of 87258800 is about 443.5436970011.

The spelling of 87258800 in words is "eighty-seven million, two hundred fifty-eight thousand, eight hundred".