75480000 has 280 divisors, whose sum is σ = 271375632. Its totient is φ = 18432000.

The previous prime is 75479969. The next prime is 75480001. The reversal of 75480000 is 8457.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75480001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2039982 + ... + 2040018.

Almost surely, 2^75480000 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 75480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135687816).

75480000 is an abundant number, since it is smaller than the sum of its proper divisors (195895632).

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

75480000 is a wasteful number, since it uses less digits than its factorization.

75480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 75480000 is about 8687.9226515894. The cubic root of 75480000 is about 422.6140816778.

Adding to 75480000 its reverse (8457), we get a palindrome (75488457).

It can be divided in two parts, 75 and 480000, that multiplied together give a square (36000000 = 6000²).

The spelling of 75480000 in words is "seventy-five million, four hundred eighty thousand".