7538380 has 48 divisors (see below), whose sum is σ = 16623936. Its totient is φ = 2868480.

The previous prime is 7538359. The next prime is 7538423. The reversal of 7538380 is 838357.

7538380 is nontrivially palindromic in base 6.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45057 + ... + 45223.

It is an arithmetic number, because the mean of its divisors is an integer number (346332).

Almost surely, 2^7538380 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 7538380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311968).

7538380 is an abundant number, since it is smaller than the sum of its proper divisors (9085556).

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

7538380 is a wasteful number, since it uses less digits than its factorization.

7538380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 7538380 is about 2745.6110431013. The cubic root of 7538380 is about 196.0767088332.

The spelling of 7538380 in words is "seven million, five hundred thirty-eight thousand, three hundred eighty".