7742806960 has 80 divisors (see below), whose sum is σ = 20594681856. Its totient is φ = 2651975424.

The previous prime is 7742806937. The next prime is 7742806979. The reversal of 7742806960 is 696082477.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588777 + ... + 601783.

Almost surely, 2^7742806960 is an apocalyptic number.

7742806960 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 7742806960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10297340928).

7742806960 is an abundant number, since it is smaller than the sum of its proper divisors (12851874896).

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

7742806960 is a wasteful number, since it uses less digits than its factorization.

7742806960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14090 (or 14084 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 7742806960 is about 87993.2211025372. The cubic root of 7742806960 is about 1978.3333729052. Note that the first 4 decimals are identical.

The spelling of 7742806960 in words is "seven billion, seven hundred forty-two million, eight hundred six thousand, nine hundred sixty".