7641200 has 60 divisors (see below), whose sum is σ = 20988240. Its totient is φ = 2618880.

The previous prime is 7641197. The next prime is 7641223. The reversal of 7641200 is 21467.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1436 + ... + 4164.

It is an arithmetic number, because the mean of its divisors is an integer number (349804).

Almost surely, 2^7641200 is an apocalyptic number.

7641200 is a gapful number since it is divisible by the number (70) 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 7641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494120).

7641200 is an abundant number, since it is smaller than the sum of its proper divisors (13347040).

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

7641200 is a wasteful number, since it uses less digits than its factorization.

7641200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 7641200 is about 2764.2720560755. The cubic root of 7641200 is about 196.9641512753.

Adding to 7641200 its reverse (21467), we get a palindrome (7662667).

The spelling of 7641200 in words is "seven million, six hundred forty-one thousand, two hundred".