7116800 has 72 divisors (see below), whose sum is σ = 17772300. Its totient is φ = 2826240.

The previous prime is 7116799. The next prime is 7116847. The reversal of 7116800 is 86117.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51131 + ... + 51269.

Almost surely, 2^7116800 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 7116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886150).

7116800 is an abundant number, since it is smaller than the sum of its proper divisors (10655500).

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

7116800 is a wasteful number, since it uses less digits than its factorization.

7116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 7116800 is about 2667.7331200853. The cubic root of 7116800 is about 192.3512090238.

The spelling of 7116800 in words is "seven million, one hundred sixteen thousand, eight hundred".