7378560 has 256 divisors, whose sum is σ = 30355200. Its totient is φ = 1658880.

The previous prime is 7378549. The next prime is 7378571. The reversal of 7378560 is 658737.

It is an interprime number because it is at equal distance from previous prime (7378549) and next prime (7378571).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120930 + ... + 120990.

It is an arithmetic number, because the mean of its divisors is an integer number (118575).

Almost surely, 2^7378560 is an apocalyptic number.

7378560 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 7378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

7378560 is an abundant number, since it is smaller than the sum of its proper divisors (22976640).

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

7378560 is a wasteful number, since it uses less digits than its factorization.

7378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7378560 is about 2716.3504928488. The cubic root of 7378560 is about 194.6811356815.

The spelling of 7378560 in words is "seven million, three hundred seventy-eight thousand, five hundred sixty".