7771968 has 84 divisors (see below), whose sum is σ = 22664928. Its totient is φ = 2545920.

The previous prime is 7771963. The next prime is 7771993. The reversal of 7771968 is 8691777.

It is a happy number.

Its product of digits (148176) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7771963) 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 11 ways as a sum of consecutive naturals, for example, 59263 + ... + 59393.

Almost surely, 2^7771968 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 7771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332464).

7771968 is an abundant number, since it is smaller than the sum of its proper divisors (14892960).

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

7771968 is a wasteful number, since it uses less digits than its factorization.

7771968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The square root of 7771968 is about 2787.8249586371. The cubic root of 7771968 is about 198.0813868051.

The spelling of 7771968 in words is "seven million, seven hundred seventy-one thousand, nine hundred sixty-eight".