854800 has 30 divisors (see below), whose sum is σ = 2054618. Its totient is φ = 341760.

The previous prime is 854771. The next prime is 854801. The reversal of 854800 is 8458.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 853776 = 32^2 + 924^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (854801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 669 + ... + 1468.

2⁸⁵⁴⁸⁰⁰ is an apocalyptic number.

854800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

854800 is an abundant number, since it is smaller than the sum of its proper divisors (1199818).

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

854800 is a wasteful number, since it uses less digits than its factorization.

854800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 854800 is about 924.5539465061. The cubic root of 854800 is about 94.9047984418.

The spelling of 854800 in words is "eight hundred fifty-four thousand, eight hundred".