7956480 has 192 divisors, whose sum is σ = 29877120. Its totient is φ = 1769472.

The previous prime is 7956467. The next prime is 7956503. The reversal of 7956480 is 846597.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 296 × 280 × 96.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215022 + ... + 215058.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 2^7956480 is an apocalyptic number.

7956480 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 7956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

7956480 is an abundant number, since it is smaller than the sum of its proper divisors (21920640).

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

7956480 is a wasteful number, since it uses less digits than its factorization.

7956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

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

The square root of 7956480 is about 2820.7233114930. The cubic root of 7956480 is about 199.6366737030.

The spelling of 7956480 in words is "seven million, nine hundred fifty-six thousand, four hundred eighty".