7768872 has 80 divisors (see below), whose sum is σ = 22941600. Its totient is φ = 2449440.

The previous prime is 7768843. The next prime is 7768877. The reversal of 7768872 is 2788677.

It is not an unprimeable number, because it can be changed into a prime (7768877) 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 19 ways as a sum of consecutive naturals, for example, 11997 + ... + 12627.

It is an arithmetic number, because the mean of its divisors is an integer number (286770).

Almost surely, 2^7768872 is an apocalyptic number.

7768872 is a gapful number since it is divisible by the number (72) 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 7768872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11470800).

7768872 is an abundant number, since it is smaller than the sum of its proper divisors (15172728).

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

7768872 is a wasteful number, since it uses less digits than its factorization.

7768872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 655 counting only the distinct ones).

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

The square root of 7768872 is about 2787.2696317364. The cubic root of 7768872 is about 198.0550810944.

The spelling of 7768872 in words is "seven million, seven hundred sixty-eight thousand, eight hundred seventy-two".