7960680 has 256 divisors, whose sum is σ = 33062400. Its totient is φ = 1679616.

The previous prime is 7960679. The next prime is 7960681. The reversal of 7960680 is 860697.

7960680 is digitally balanced in base 8, 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 (7960679) and next prime (7960681).

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

7960680 is strictly pandigital in base 8.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7960681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612354 + ... + 612366.

It is an arithmetic number, because the mean of its divisors is an integer number (129150).

Almost surely, 2^7960680 is an apocalyptic number.

7960680 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 7960680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531200).

7960680 is an abundant number, since it is smaller than the sum of its proper divisors (25101720).

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

7960680 is a wasteful number, since it uses less digits than its factorization.

7960680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7960680 is about 2821.4677031644. The cubic root of 7960680 is about 199.6717950355.

The spelling of 7960680 in words is "seven million, nine hundred sixty thousand, six hundred eighty".