7216800 has 144 divisors (see below), whose sum is σ = 24498432. Its totient is φ = 1843200.

The previous prime is 7216799. The next prime is 7216801. The reversal of 7216800 is 86127.

7216800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7216799) and next prime (7216801).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7216801) by changing a digit.

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, 74352 + ... + 74448.

It is an arithmetic number, because the mean of its divisors is an integer number (170128).

Almost surely, 2^7216800 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 7216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249216).

7216800 is an abundant number, since it is smaller than the sum of its proper divisors (17281632).

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

7216800 is a wasteful number, since it uses less digits than its factorization.

7216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 7216800 is about 2686.4102441734. The cubic root of 7216800 is about 193.2479474976.

7216800 divided by its sum of digits (24) gives a triangular number (300700 = T₇₇₅).

The spelling of 7216800 in words is "seven million, two hundred sixteen thousand, eight hundred".