7460768 has 48 divisors (see below), whose sum is σ = 17680320. Its totient is φ = 3027456.

The previous prime is 7460753. The next prime is 7460771. The reversal of 7460768 is 8670647.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3380 + ... + 5132.

It is an arithmetic number, because the mean of its divisors is an integer number (368340).

Almost surely, 2^7460768 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 7460768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8840160).

7460768 is an abundant number, since it is smaller than the sum of its proper divisors (10219552).

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

7460768 is a wasteful number, since it uses less digits than its factorization.

7460768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 7460768 is about 2731.4406455202. The cubic root of 7460768 is about 195.4014783445.

It can be divided in two parts, 7460 and 768, that added together give a palindrome (8228).

The spelling of 7460768 in words is "seven million, four hundred sixty thousand, seven hundred sixty-eight".