810720 has 72 divisors (see below), whose sum is σ = 2771496. Its totient is φ = 215808.

The previous prime is 810697. The next prime is 810737. The reversal of 810720 is 27018.

810720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 810693 and 810702.

It is a congruent number.

It is an unprimeable number.

810720 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 11 ways as a sum of consecutive naturals, for example, 1159 + ... + 1721.

It is an arithmetic number, because the mean of its divisors is an integer number (38493).

2⁸¹⁰⁷²⁰ is an apocalyptic number.

810720 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 810720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385748).

810720 is an abundant number, since it is smaller than the sum of its proper divisors (1960776).

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

810720 is a wasteful number, since it uses less digits than its factorization.

810720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 810720 is about 900.3999111506. The cubic root of 810720 is about 93.2445868435.

Adding to 810720 its reverse (27018), we get a palindrome (837738).

The spelling of 810720 in words is "eight hundred ten thousand, seven hundred twenty".