7382960 has 80 divisors (see below), whose sum is σ = 19165440. Its totient is φ = 2626560.

The previous prime is 7382959. The next prime is 7382983. The reversal of 7382960 is 692837.

7382960 = T₃₈₉ + T₃₉₀ + ... + T₄₆₈.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7382960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32126 + ... + 32354.

It is an arithmetic number, because the mean of its divisors is an integer number (239568).

Almost surely, 2^7382960 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 7382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9582720).

7382960 is an abundant number, since it is smaller than the sum of its proper divisors (11782480).

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

7382960 is a wasteful number, since it uses less digits than its factorization.

7382960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 7382960 is about 2717.1602823536. The cubic root of 7382960 is about 194.7198255606.

The spelling of 7382960 in words is "seven million, three hundred eighty-two thousand, nine hundred sixty".