7768803840 has 640 divisors, whose sum is σ = 30395768832. Its totient is φ = 1654456320.

The previous prime is 7768803811. The next prime is 7768803841. The reversal of 7768803840 is 483088677.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (7768803841) 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 63 ways as a sum of consecutive naturals, for example, 75425229 + ... + 75425331.

Almost surely, 2^7768803840 is an apocalyptic number.

7768803840 is a gapful number since it is divisible by the number (70) 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 7768803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197884416).

7768803840 is an abundant number, since it is smaller than the sum of its proper divisors (22626964992).

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

7768803840 is a wasteful number, since it uses less digits than its factorization.

7768803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 7768803840 is about 88140.8182399052. The cubic root of 7768803840 is about 1980.5450188236.

The spelling of 7768803840 in words is "seven billion, seven hundred sixty-eight million, eight hundred three thousand, eight hundred forty".