7768880 has 40 divisors (see below), whose sum is σ = 20644512. Its totient is φ = 2663424.

The previous prime is 7768877. The next prime is 7768889. The reversal of 7768880 is 888677.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (7768889) 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 7 ways as a sum of consecutive naturals, for example, 6377 + ... + 7496.

Almost surely, 2^7768880 is an apocalyptic number.

7768880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7768880 is an abundant number, since it is smaller than the sum of its proper divisors (12875632).

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

7768880 is a wasteful number, since it uses less digits than its factorization.

7768880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13893 (or 13887 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 44.

The square root of 7768880 is about 2787.2710668322. The cubic root of 7768880 is about 198.0551490769.

The spelling of 7768880 in words is "seven million, seven hundred sixty-eight thousand, eight hundred eighty".