86800 has 60 divisors (see below), whose sum is σ = 246016. Its totient is φ = 28800.

The previous prime is 86783. The next prime is 86813. The reversal of 86800 is 868.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2785 + ... + 2815.

2⁸⁶⁸⁰⁰ is an apocalyptic number.

86800 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 86800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123008).

86800 is an abundant number, since it is smaller than the sum of its proper divisors (159216).

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

86800 is a wasteful number, since it uses less digits than its factorization.

86800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 86800 is about 294.6183972531. The cubic root of 86800 is about 44.2764957771.

Multiplying 86800 by its reverse (868), we get a square (75342400 = 8680²).

86800 divided by its reverse (868) gives a square (100 = 10²).

The spelling of 86800 in words is "eighty-six thousand, eight hundred".