7320768 has 112 divisors (see below), whose sum is σ = 23896320. Its totient is φ = 1926144.

The previous prime is 7320763. The next prime is 7320773. The reversal of 7320768 is 8670237.

It is an interprime number because it is at equal distance from previous prime (7320763) and next prime (7320773).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (7320763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17263 + ... + 17681.

It is an arithmetic number, because the mean of its divisors is an integer number (213360).

Almost surely, 2^7320768 is an apocalyptic number.

7320768 is a gapful number since it is divisible by the number (78) 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 7320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11948160).

7320768 is an abundant number, since it is smaller than the sum of its proper divisors (16575552).

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

7320768 is a wasteful number, since it uses less digits than its factorization.

7320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 7320768 is about 2705.6917784552. The cubic root of 7320768 is about 194.1715278940.

The spelling of 7320768 in words is "seven million, three hundred twenty thousand, seven hundred sixty-eight".