75530400 has 144 divisors (see below), whose sum is σ = 268295328. Its totient is φ = 18304000.

The previous prime is 75530387. The next prime is 75530401. The reversal of 75530400 is 403557.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (75530401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24970 + ... + 27830.

It is an arithmetic number, because the mean of its divisors is an integer number (1863162).

Almost surely, 2^75530400 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 75530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134147664).

75530400 is an abundant number, since it is smaller than the sum of its proper divisors (192764928).

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

75530400 is a wasteful number, since it uses less digits than its factorization.

75530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 75530400 is about 8690.8227458624. The cubic root of 75530400 is about 422.7081242969.

Adding to 75530400 its reverse (403557), we get a palindrome (75933957).

The spelling of 75530400 in words is "seventy-five million, five hundred thirty thousand, four hundred".