7540400 has 60 divisors (see below), whose sum is σ = 20711472. Its totient is φ = 2584320.

The previous prime is 7540399. The next prime is 7540411. The reversal of 7540400 is 40457.

7540400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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 11 ways as a sum of consecutive naturals, for example, 1454 + ... + 4146.

Almost surely, 2^7540400 is an apocalyptic number.

7540400 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 7540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10355736).

7540400 is an abundant number, since it is smaller than the sum of its proper divisors (13171072).

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

7540400 is a wasteful number, since it uses less digits than its factorization.

7540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 7540400 is about 2745.9788782873. The cubic root of 7540400 is about 196.0942209768.

Adding to 7540400 its reverse (40457), we get a palindrome (7580857).

The spelling of 7540400 in words is "seven million, five hundred forty thousand, four hundred".