7420 has 24 divisors (see below), whose sum is σ = 18144. Its totient is φ = 2496.

The previous prime is 7417. The next prime is 7433. The reversal of 7420 is 247.

7420 = T₂₉ + T₃₀ + ... + T₄₀.

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 166.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

7420 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 7420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072).

7420 is an abundant number, since it is smaller than the sum of its proper divisors (10724).

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

7420 is a wasteful number, since it uses less digits than its factorization.

7420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 7420 is about 86.1394218694. The cubic root of 7420 is about 19.5044916237.

Adding to 7420 its reverse (247), we get a palindrome (7667).

The spelling of 7420 in words is "seven thousand, four hundred twenty", and thus it is an iban number.