7779968 has 64 divisors (see below), whose sum is σ = 18686400. Its totient is φ = 3151872.

The previous prime is 7779943. The next prime is 7779979. The reversal of 7779968 is 8699777.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 16796 + ... + 17252.

It is an arithmetic number, because the mean of its divisors is an integer number (291975).

Almost surely, 2^7779968 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 7779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343200).

7779968 is an abundant number, since it is smaller than the sum of its proper divisors (10906432).

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

7779968 is a wasteful number, since it uses less digits than its factorization.

7779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 53.

The square root of 7779968 is about 2789.2593999125. The cubic root of 7779968 is about 198.1493278847.

The spelling of 7779968 in words is "seven million, seven hundred seventy-nine thousand, nine hundred sixty-eight".