7382003200 has 480 divisors, whose sum is σ = 22270137120. Its totient is φ = 2388787200.

The previous prime is 7382003171. The next prime is 7382003221. The reversal of 7382003200 is 23002837.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67724746 + ... + 67724854.

It is an arithmetic number, because the mean of its divisors is an integer number (46396119).

Almost surely, 2^7382003200 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 7382003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11135068560).

7382003200 is an abundant number, since it is smaller than the sum of its proper divisors (14888133920).

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

7382003200 is a wasteful number, since it uses less digits than its factorization.

7382003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 7382003200 is about 85918.5847183251. The cubic root of 7382003200 is about 1947.1141357872.

The spelling of 7382003200 in words is "seven billion, three hundred eighty-two million, three thousand, two hundred".