7651120 has 40 divisors (see below), whose sum is σ = 18101520. Its totient is φ = 3006720.

The previous prime is 7651103. The next prime is 7651121. The reversal of 7651120 is 211567.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 7651091 and 7651100.

It is not an unprimeable number, because it can be changed into a prime (7651121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3910 + ... + 5530.

It is an arithmetic number, because the mean of its divisors is an integer number (452538).

Almost surely, 2^7651120 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 7651120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050760).

7651120 is an abundant number, since it is smaller than the sum of its proper divisors (10450400).

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

7651120 is a wasteful number, since it uses less digits than its factorization.

7651120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 7651120 is about 2766.0657982051. The cubic root of 7651120 is about 197.0493490393.

Adding to 7651120 its reverse (211567), we get a palindrome (7862687).

The spelling of 7651120 in words is "seven million, six hundred fifty-one thousand, one hundred twenty".