7961360 has 80 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 2833920.

The previous prime is 7961357. The next prime is 7961363. The reversal of 7961360 is 631697.

It is an interprime number because it is at equal distance from previous prime (7961357) and next prime (7961363).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (7961363) 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, 72986 + ... + 73094.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^7961360 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 7961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

7961360 is an abundant number, since it is smaller than the sum of its proper divisors (12662320).

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

7961360 is a wasteful number, since it uses less digits than its factorization.

7961360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 7961360 is about 2821.5882052490. The cubic root of 7961360 is about 199.6774801844.

The spelling of 7961360 in words is "seven million, nine hundred sixty-one thousand, three hundred sixty".