75504960 has 168 divisors, whose sum is σ = 269601696. Its totient is φ = 20113920.

The previous prime is 75504943. The next prime is 75504971. The reversal of 75504960 is 6940557.

75504960 is a `hidden beast` number, since 7 + 550 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77275 + ... + 78245.

It is an arithmetic number, because the mean of its divisors is an integer number (1604772).

Almost surely, 2^75504960 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 75504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134800848).

75504960 is an abundant number, since it is smaller than the sum of its proper divisors (194096736).

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

75504960 is an equidigital number, since it uses as much as digits as its factorization.

75504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 75504960 is about 8689.3590097314. The cubic root of 75504960 is about 422.6606603960.

The spelling of 75504960 in words is "seventy-five million, five hundred four thousand, nine hundred sixty".