800724 has 24 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 261664.

The previous prime is 800711. The next prime is 800729. The reversal of 800724 is 427008.

It is a happy number.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 800724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800729) by changing a digit.

800724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 7 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2⁸⁰⁰⁷²⁴ is an apocalyptic number.

It is an amenable number.

800724 is an abundant number, since it is smaller than the sum of its proper divisors (1104396).

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

800724 is a wasteful number, since it uses less digits than its factorization.

800724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 800724 is about 894.8318277755. The cubic root of 800724 is about 92.8597724812.

Adding to 800724 its sum of digits (21), we get a triangular number (800745 = T₁₂₆₅).

The spelling of 800724 in words is "eight hundred thousand, seven hundred twenty-four".