7697640 has 64 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 1962752.

The previous prime is 7697639. The next prime is 7697653. The reversal of 7697640 is 467967.

It is a super-3 number, since 3×7697640³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

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, 1366 + ... + 4154.

It is an arithmetic number, because the mean of its divisors is an integer number (376650).

Almost surely, 2^7697640 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 7697640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

7697640 is an abundant number, since it is smaller than the sum of its proper divisors (16407960).

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

7697640 is a wasteful number, since it uses less digits than its factorization.

7697640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 7697640 is about 2774.4621100314. The cubic root of 7697640 is about 197.4479059315.

The spelling of 7697640 in words is "seven million, six hundred ninety-seven thousand, six hundred forty".