7476768 has 72 divisors (see below), whose sum is σ = 22909068. Its totient is φ = 2299392.

The previous prime is 7476767. The next prime is 7476773. The reversal of 7476768 is 8676747.

It can be written as a sum of positive squares in 2 ways, for example, as 5702544 + 1774224 = 2388^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (7476767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2746 + ... + 4742.

Almost surely, 2^7476768 is an apocalyptic number.

7476768 is a gapful number since it is divisible by the number (78) 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 7476768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11454534).

7476768 is an abundant number, since it is smaller than the sum of its proper divisors (15432300).

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

7476768 is a wasteful number, since it uses less digits than its factorization.

7476768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2015 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 7476768 is about 2734.3679342766. The cubic root of 7476768 is about 195.5410614449.

The spelling of 7476768 in words is "seven million, four hundred seventy-six thousand, seven hundred sixty-eight".