7530768 has 120 divisors (see below), whose sum is σ = 24966656. Its totient is φ = 2073600.

The previous prime is 7530751. The next prime is 7530769. The reversal of 7530768 is 8670357.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7530769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31128 + ... + 31368.

Almost surely, 2^7530768 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 7530768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483328).

7530768 is an abundant number, since it is smaller than the sum of its proper divisors (17435888).

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

7530768 is a wasteful number, since it uses less digits than its factorization.

7530768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

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

The square root of 7530768 is about 2744.2244806138. The cubic root of 7530768 is about 196.0106894073.

The spelling of 7530768 in words is "seven million, five hundred thirty thousand, seven hundred sixty-eight".