7768728 has 96 divisors (see below), whose sum is σ = 24345360. Its totient is φ = 2211840.

The previous prime is 7768703. The next prime is 7768729. The reversal of 7768728 is 8278677.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7768729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13176 + ... + 13752.

Almost surely, 2^7768728 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 7768728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12172680).

7768728 is an abundant number, since it is smaller than the sum of its proper divisors (16576632).

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

7768728 is a wasteful number, since it uses less digits than its factorization.

7768728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 610 counting only the distinct ones).

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

The square root of 7768728 is about 2787.2437998855. The cubic root of 7768728 is about 198.0538574029.

The spelling of 7768728 in words is "seven million, seven hundred sixty-eight thousand, seven hundred twenty-eight".