84800 has 42 divisors (see below), whose sum is σ = 212598. Its totient is φ = 33280.

The previous prime is 84793. The next prime is 84809. The reversal of 84800 is 848.

It can be written as a sum of positive squares in 3 ways, for example, as 10816 + 73984 = 104^2 + 272^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84809) by changing a digit.

84800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1574 + ... + 1626.

2⁸⁴⁸⁰⁰ is an apocalyptic number.

84800 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 84800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106299).

84800 is an abundant number, since it is smaller than the sum of its proper divisors (127798).

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

84800 is a wasteful number, since it uses less digits than its factorization.

84800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 84800 is about 291.2043955712. The cubic root of 84800 is about 43.9337847006.

Multiplying 84800 by its reverse (848), we get a square (71910400 = 8480²).

84800 divided by its reverse (848) gives a square (100 = 10²).

The spelling of 84800 in words is "eighty-four thousand, eight hundred".