7402560 has 112 divisors (see below), whose sum is σ = 25676352. Its totient is φ = 1792000.

The previous prime is 7402559. The next prime is 7402561. The reversal of 7402560 is 652047.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7402559) and next prime (7402561).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 7402560.

It is not an unprimeable number, because it can be changed into a prime (7402561) 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, 10210 + ... + 10910.

Almost surely, 2^7402560 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 7402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838176).

7402560 is an abundant number, since it is smaller than the sum of its proper divisors (18273792).

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

7402560 is a wasteful number, since it uses less digits than its factorization.

7402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 7402560 is about 2720.7645984171. The cubic root of 7402560 is about 194.8919848863.

The spelling of 7402560 in words is "seven million, four hundred two thousand, five hundred sixty".