7278768 has 160 divisors (see below), whose sum is σ = 24998400. Its totient is φ = 1983744.

The previous prime is 7278727. The next prime is 7278773. The reversal of 7278768 is 8678727.

It is a nude number because it is divisible by every one of its digits.

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, 87655 + ... + 87737.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^7278768 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 7278768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200).

7278768 is an abundant number, since it is smaller than the sum of its proper divisors (17719632).

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

7278768 is a wasteful number, since it uses less digits than its factorization.

7278768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 7278768 is about 2697.9191981970. The cubic root of 7278768 is about 193.7994881563.

The spelling of 7278768 in words is "seven million, two hundred seventy-eight thousand, seven hundred sixty-eight".