7538400 has 144 divisors (see below), whose sum is σ = 27342000. Its totient is φ = 2004480.

The previous prime is 7538359. The next prime is 7538423. The reversal of 7538400 is 48357.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21426 + ... + 21774.

It is an arithmetic number, because the mean of its divisors is an integer number (189875).

Almost surely, 2^7538400 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 7538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13671000).

7538400 is an abundant number, since it is smaller than the sum of its proper divisors (19803600).

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

7538400 is a wasteful number, since it uses less digits than its factorization.

7538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7538400 is about 2745.6146852754. The cubic root of 7538400 is about 196.0768822361.

The spelling of 7538400 in words is "seven million, five hundred thirty-eight thousand, four hundred".