874800 has 120 divisors (see below), whose sum is σ = 3152080. Its totient is φ = 233280.

The previous prime is 874799. The next prime is 874807. The reversal of 874800 is 8478.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (874807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174958 + ... + 174962.

2⁸⁷⁴⁸⁰⁰ is an apocalyptic number.

874800 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 874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576040).

874800 is an abundant number, since it is smaller than the sum of its proper divisors (2277280).

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

874800 is an equidigital number, since it uses as much as digits as its factorization.

874800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 874800 is about 935.3074360872. The cubic root of 874800 is about 95.6392712264.

Multiplying 874800 by its sum of digits (27), we get a square (23619600 = 4860²).

874800 divided by its sum of digits (27) gives a square (32400 = 180²).

The spelling of 874800 in words is "eight hundred seventy-four thousand, eight hundred".