7896960 has 128 divisors (see below), whose sum is σ = 28029600. Its totient is φ = 2101248.

The previous prime is 7896949. The next prime is 7896979. The reversal of 7896960 is 696987.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

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, 17052 + ... + 17508.

Almost surely, 2^7896960 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 7896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014800).

7896960 is an abundant number, since it is smaller than the sum of its proper divisors (20132640).

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

7896960 is a wasteful number, since it uses less digits than its factorization.

7896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7896960 is about 2810.1530207446. The cubic root of 7896960 is about 199.1376201832.

The spelling of 7896960 in words is "seven million, eight hundred ninety-six thousand, nine hundred sixty".