848800 has 36 divisors (see below), whose sum is σ = 2074086. Its totient is φ = 339200.

The previous prime is 848797. The next prime is 848803. The reversal of 848800 is 8848.

It is a happy number.

848800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (848797) and next prime (848803).

It can be written as a sum of positive squares in 3 ways, for example, as 685584 + 163216 = 828^2 + 404^2 .

It is a super-2 number, since 2×848800² = 1440922880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (848803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 270 + ... + 1330.

2⁸⁴⁸⁸⁰⁰ is an apocalyptic number.

848800 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 848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037043).

848800 is an abundant number, since it is smaller than the sum of its proper divisors (1225286).

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

848800 is a wasteful number, since it uses less digits than its factorization.

848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 848800 is about 921.3034245025. The cubic root of 848800 is about 94.6822253957.

The spelling of 848800 in words is "eight hundred forty-eight thousand, eight hundred".