7768410672 has 80 divisors (see below), whose sum is σ = 21911490432. Its totient is φ = 2352053760.

The previous prime is 7768410667. The next prime is 7768410673. The reversal of 7768410672 is 2760148677.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7768410673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684468 + ... + 695724.

Almost surely, 2^7768410672 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 7768410672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955745216).

7768410672 is an abundant number, since it is smaller than the sum of its proper divisors (14143079760).

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

7768410672 is a wasteful number, since it uses less digits than its factorization.

7768410672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12586 (or 12580 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 7768410672 is about 88138.5878716014. The cubic root of 7768410672 is about 1980.5116074140.

The spelling of 7768410672 in words is "seven billion, seven hundred sixty-eight million, four hundred ten thousand, six hundred seventy-two".