7964320 has 96 divisors (see below), whose sum is σ = 23200128. Its totient is φ = 2515968.

The previous prime is 7964311. The next prime is 7964329. The reversal of 7964320 is 234697.

7964320 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (7964311) and next prime (7964329).

It is not an unprimeable number, because it can be changed into a prime (7964329) 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, 14287 + ... + 14833.

It is an arithmetic number, because the mean of its divisors is an integer number (241668).

Almost surely, 2^7964320 is an apocalyptic number.

7964320 is a gapful number since it is divisible by the number (70) 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 7964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600064).

7964320 is an abundant number, since it is smaller than the sum of its proper divisors (15235808).

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

7964320 is a wasteful number, since it uses less digits than its factorization.

7964320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 7964320 is about 2822.1126837885. The cubic root of 7964320 is about 199.7022235326.

The spelling of 7964320 in words is "seven million, nine hundred sixty-four thousand, three hundred twenty".