75888960 has 224 divisors, whose sum is σ = 287926272. Its totient is φ = 16558080.

The previous prime is 75888959. The next prime is 75888979. The reversal of 75888960 is 6988857.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 154315 + ... + 154805.

Almost surely, 2^75888960 is an apocalyptic number.

75888960 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 75888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143963136).

75888960 is an abundant number, since it is smaller than the sum of its proper divisors (212037312).

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

75888960 is a wasteful number, since it uses less digits than its factorization.

75888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 75888960 is about 8711.4269784003. The cubic root of 75888960 is about 423.3759658362.

The spelling of 75888960 in words is "seventy-five million, eight hundred eighty-eight thousand, nine hundred sixty".