7969320 has 128 divisors (see below), whose sum is σ = 27302400. Its totient is φ = 2066688.

The previous prime is 7969309. The next prime is 7969321. The reversal of 7969320 is 239697.

It is a super-2 number, since 2×7969320² = 127020122524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (7969321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50682 + ... + 50838.

It is an arithmetic number, because the mean of its divisors is an integer number (213300).

Almost surely, 2^7969320 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 7969320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651200).

7969320 is an abundant number, since it is smaller than the sum of its proper divisors (19333080).

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

7969320 is a wasteful number, since it uses less digits than its factorization.

7969320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 7969320 is about 2822.9984059507. The cubic root of 7969320 is about 199.7440058080.

The spelling of 7969320 in words is "seven million, nine hundred sixty-nine thousand, three hundred twenty".