7720200 has 72 divisors (see below), whose sum is σ = 25933050. Its totient is φ = 2058240.

The previous prime is 7720189. The next prime is 7720201. The reversal of 7720200 is 20277.

It can be written as a sum of positive squares in 3 ways, for example, as 7193124 + 527076 = 2682^2 + 726^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7720201) 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 17 ways as a sum of consecutive naturals, for example, 345 + ... + 3944.

Almost surely, 2^7720200 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 7720200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966525).

7720200 is an abundant number, since it is smaller than the sum of its proper divisors (18212850).

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

7720200 is a wasteful number, since it uses less digits than its factorization.

7720200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 7720200 is about 2778.5247884444. The cubic root of 7720200 is about 197.6406091583.

Adding to 7720200 its reverse (20277), we get a palindrome (7740477).

The spelling of 7720200 in words is "seven million, seven hundred twenty thousand, two hundred".