7120820 has 48 divisors (see below), whose sum is σ = 17996160. Its totient is φ = 2312064.

The previous prime is 7120811. The next prime is 7120837. The reversal of 7120820 is 280217.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 7120792 and 7120801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1322 + ... + 3998.

It is an arithmetic number, because the mean of its divisors is an integer number (374920).

Almost surely, 2^7120820 is an apocalyptic number.

7120820 is a gapful number since it is divisible by the number (70) 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 7120820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8998080).

7120820 is an abundant number, since it is smaller than the sum of its proper divisors (10875340).

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

7120820 is a wasteful number, since it uses less digits than its factorization.

7120820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2710 counting only the distinct ones).

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

The square root of 7120820 is about 2668.4864623977. The cubic root of 7120820 is about 192.3874194139.

The spelling of 7120820 in words is "seven million, one hundred twenty thousand, eight hundred twenty".