7676800 has 48 divisors (see below), whose sum is σ = 18972000. Its totient is φ = 3069440.

The previous prime is 7676791. The next prime is 7676803. The reversal of 7676800 is 86767.

7676800 is nontrivially palindromic in base 15.

7676800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7676803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2001 + ... + 4399.

It is an arithmetic number, because the mean of its divisors is an integer number (395250).

Almost surely, 2^7676800 is an apocalyptic number.

7676800 is the 1600-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486000).

7676800 is an abundant number, since it is smaller than the sum of its proper divisors (11295200).

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

7676800 is a wasteful number, since it uses less digits than its factorization.

7676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 7676800 is about 2770.7038816878. The cubic root of 7676800 is about 197.2695597833.

The spelling of 7676800 in words is "seven million, six hundred seventy-six thousand, eight hundred".