7951680 has 168 divisors, whose sum is σ = 29955744. Its totient is φ = 1920000.

The previous prime is 7951679. The next prime is 7951681. The reversal of 7951680 is 861597.

7951680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7951679) and next prime (7951681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7951681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31555 + ... + 31805.

It is an arithmetic number, because the mean of its divisors is an integer number (178308).

Almost surely, 2^7951680 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 7951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

7951680 is an abundant number, since it is smaller than the sum of its proper divisors (22004064).

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

7951680 is a wasteful number, since it uses less digits than its factorization.

7951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 7951680 is about 2819.8723375359. The cubic root of 7951680 is about 199.5965198998.

The spelling of 7951680 in words is "seven million, nine hundred fifty-one thousand, six hundred eighty".