7740096 has 112 divisors (see below), whose sum is σ = 25261824. Its totient is φ = 2036736.

The previous prime is 7740091. The next prime is 7740097. The reversal of 7740096 is 6900477.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (7740091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17251 + ... + 17693.

It is an arithmetic number, because the mean of its divisors is an integer number (225552).

Almost surely, 2^7740096 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 7740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12630912).

7740096 is an abundant number, since it is smaller than the sum of its proper divisors (17521728).

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

7740096 is a wasteful number, since it uses less digits than its factorization.

7740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 7740096 is about 2782.1028018389. The cubic root of 7740096 is about 197.8102457135.

The spelling of 7740096 in words is "seven million, seven hundred forty thousand, ninety-six".