7740640 has 48 divisors (see below), whose sum is σ = 18506880. Its totient is φ = 3059200.

The previous prime is 7740611. The next prime is 7740641. The reversal of 7740640 is 460477.

It is a junction number, because it is equal to n+sod(n) for n = 7740599 and 7740608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7740641) by changing a digit.

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, 15921 + ... + 16399.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^7740640 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 7740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440).

7740640 is an abundant number, since it is smaller than the sum of its proper divisors (10766240).

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

7740640 is a wasteful number, since it uses less digits than its factorization.

7740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 7740640 is about 2782.2005678959. The cubic root of 7740640 is about 197.8148798616.

The spelling of 7740640 in words is "seven million, seven hundred forty thousand, six hundred forty".