75504480 has 192 divisors, whose sum is σ = 265628160. Its totient is φ = 17915904.

The previous prime is 75504467. The next prime is 75504503. The reversal of 75504480 is 8440557.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154797 + ... + 155283.

It is an arithmetic number, because the mean of its divisors is an integer number (1383480).

Almost surely, 2^75504480 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 75504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132814080).

75504480 is an abundant number, since it is smaller than the sum of its proper divisors (190123680).

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

75504480 is a wasteful number, since it uses less digits than its factorization.

75504480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 75504480 is about 8689.3313896985. The cubic root of 75504480 is about 422.6597647482.

The spelling of 75504480 in words is "seventy-five million, five hundred four thousand, four hundred eighty".