7632768 has 128 divisors (see below), whose sum is σ = 23990400. Its totient is φ = 2119680.

The previous prime is 7632733. The next prime is 7632791. The reversal of 7632768 is 8672367.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

7632768 is a Rhonda number in base 9.

Its product of digits (84672) is a multiple of the sum of its prime divisors (168).

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 15 ways as a sum of consecutive naturals, for example, 54843 + ... + 54981.

It is an arithmetic number, because the mean of its divisors is an integer number (187425).

Almost surely, 2^7632768 is an apocalyptic number.

7632768 is a gapful number since it is divisible by the number (78) 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 7632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995200).

7632768 is an abundant number, since it is smaller than the sum of its proper divisors (16357632).

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

7632768 is a wasteful number, since it uses less digits than its factorization.

7632768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 7632768 is about 2762.7464595941. The cubic root of 7632768 is about 196.8916751812.

The spelling of 7632768 in words is "seven million, six hundred thirty-two thousand, seven hundred sixty-eight".