7677648 has 120 divisors (see below), whose sum is σ = 24257376. Its totient is φ = 2246400.

The previous prime is 7677623. The next prime is 7677661. The reversal of 7677648 is 8467767.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 58543 + ... + 58673.

Almost surely, 2^7677648 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 7677648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12128688).

7677648 is an abundant number, since it is smaller than the sum of its proper divisors (16579728).

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

7677648 is a wasteful number, since it uses less digits than its factorization.

7677648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 7677648 is about 2770.8569071679. The cubic root of 7677648 is about 197.2768231581.

The spelling of 7677648 in words is "seven million, six hundred seventy-seven thousand, six hundred forty-eight".