800720 has 20 divisors (see below), whose sum is σ = 1861860. Its totient is φ = 320256.

The previous prime is 800711. The next prime is 800729. The reversal of 800720 is 27008.

800720 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 (800711) and next prime (800729).

It can be written as a sum of positive squares in 2 ways, for example, as 620944 + 179776 = 788^2 + 424^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

800720 is a modest number, since divided by 720 gives 80 as remainder.

It is a congruent number.

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

800720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4925 + ... + 5084.

It is an arithmetic number, because the mean of its divisors is an integer number (93093).

2⁸⁰⁰⁷²⁰ is an apocalyptic number.

800720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800720 is an abundant number, since it is smaller than the sum of its proper divisors (1061140).

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

800720 is a wasteful number, since it uses less digits than its factorization.

800720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10022 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 800720 is about 894.8295927158. The cubic root of 800720 is about 92.8596178546.

Adding to 800720 its reverse (27008), we get a palindrome (827728).

The spelling of 800720 in words is "eight hundred thousand, seven hundred twenty".