8700 has 36 divisors (see below), whose sum is σ = 26040. Its totient is φ = 2240.

The previous prime is 8699. The next prime is 8707. The reversal of 8700 is 78.

Added to its reverse (78) it gives a triangular number (8778 = T₁₃₂).

It is a Harshad number since it is a multiple of its sum of digits (15).

8700 is an undulating number in base 12.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286 + ... + 314.

2⁸⁷⁰⁰ 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 8700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020).

8700 is an abundant number, since it is smaller than the sum of its proper divisors (17340).

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

8700 is a wasteful number, since it uses less digits than its factorization.

8700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 8700 is about 93.2737905309. The cubic root of 8700 is about 20.5671011621.

Adding to 8700 its reverse (78), we get a palindrome (8778).

The spelling of 8700 in words is "eight thousand, seven hundred".