7965480 has 64 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 2071040.

The previous prime is 7965479. The next prime is 7965487. The reversal of 7965480 is 845697.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (7965487) 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 15 ways as a sum of consecutive naturals, for example, 4111 + ... + 5729.

It is an arithmetic number, because the mean of its divisors is an integer number (382725).

Almost surely, 2^7965480 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 7965480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247200).

7965480 is an abundant number, since it is smaller than the sum of its proper divisors (16528920).

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

7965480 is a wasteful number, since it uses less digits than its factorization.

7965480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 7965480 is about 2822.3181960934. The cubic root of 7965480 is about 199.7119185780.

The spelling of 7965480 in words is "seven million, nine hundred sixty-five thousand, four hundred eighty".