7420320 has 72 divisors (see below), whose sum is σ = 25326756. Its totient is φ = 1978368.

The previous prime is 7420307. The next prime is 7420333. The reversal of 7420320 is 230247.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7420307) and next prime (7420333).

It can be written as a sum of positive squares in 2 ways, for example, as 7420176 + 144 = 2724^2 + 12^2 .

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

It is a super-2 number, since 2×7420320² = 110122297804800, which contains 22 as substring.

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 = 7420293 and 7420302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1137 + ... + 4016.

Almost surely, 2^7420320 is an apocalyptic number.

It is an amenable number.

7420320 is an abundant number, since it is smaller than the sum of its proper divisors (17906436).

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

7420320 is a wasteful number, since it uses less digits than its factorization.

7420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 7420320 is about 2724.0264315898. The cubic root of 7420320 is about 195.0477200765.

Adding to 7420320 its reverse (230247), we get a palindrome (7650567).

The spelling of 7420320 in words is "seven million, four hundred twenty thousand, three hundred twenty".