7623720 has 160 divisors (see below), whose sum is σ = 27747720. Its totient is φ = 1866240.

The previous prime is 7623713. The next prime is 7623727. The reversal of 7623720 is 273267.

7623720 = T₁₉₅ + T₁₉₆ + ... + T₃₇₅.

It is an interprime number because it is at equal distance from previous prime (7623713) and next prime (7623727).

It can be written as a sum of positive squares in 4 ways, for example, as 2232036 + 5391684 = 1494^2 + 2322^2 .

It is a super-2 number, since 2×7623720² = 116242213276800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7623727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42030 + ... + 42210.

Almost surely, 2^7623720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7623720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13873860).

7623720 is an abundant number, since it is smaller than the sum of its proper divisors (20124000).

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

7623720 is a wasteful number, since it uses less digits than its factorization.

7623720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 7623720 is about 2761.1084730593. The cubic root of 7623720 is about 196.8138449510.

Adding to 7623720 its reverse (273267), we get a palindrome (7896987).

The spelling of 7623720 in words is "seven million, six hundred twenty-three thousand, seven hundred twenty".