727800 has 48 divisors (see below), whose sum is σ = 2258040. Its totient is φ = 193920.

The previous prime is 727799. The next prime is 727807. The reversal of 727800 is 8727.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7 + ... + 1206.

2⁷²⁷⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129020).

727800 is an abundant number, since it is smaller than the sum of its proper divisors (1530240).

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

727800 is a wasteful number, since it uses less digits than its factorization.

727800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 727800 is about 853.1119504496. Note that the first 3 decimals coincide. The cubic root of 727800 is about 89.9505901630.

The spelling of 727800 in words is "seven hundred twenty-seven thousand, eight hundred".