7210820 has 12 divisors (see below), whose sum is σ = 15142764. Its totient is φ = 2884320.

The previous prime is 7210811. The next prime is 7210877. The reversal of 7210820 is 280127.

It can be written as a sum of positive squares in 2 ways, for example, as 1517824 + 5692996 = 1232^2 + 2386^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 360541 = 7210820 / (7 + 2 + 1 + 0 + 8 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 7210792 and 7210801.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180251 + ... + 180290.

It is an arithmetic number, because the mean of its divisors is an integer number (1261897).

Almost surely, 2^7210820 is an apocalyptic number.

It is an amenable number.

7210820 is an abundant number, since it is smaller than the sum of its proper divisors (7931944).

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

7210820 is a wasteful number, since it uses less digits than its factorization.

7210820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360550 (or 360548 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 7210820 is about 2685.2970040575. The cubic root of 7210820 is about 193.1945562409.

Adding to 7210820 its reverse (280127), we get a palindrome (7490947).

The spelling of 7210820 in words is "seven million, two hundred ten thousand, eight hundred twenty".