75360960 has 168 divisors, whose sum is σ = 262469376. Its totient is φ = 19845120.

The previous prime is 75360953. The next prime is 75360977. The reversal of 75360960 is 6906357.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394465 + ... + 394655.

Almost surely, 2^75360960 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 75360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131234688).

75360960 is an abundant number, since it is smaller than the sum of its proper divisors (187108416).

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

75360960 is a wasteful number, since it uses less digits than its factorization.

75360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 75360960 is about 8681.0690585895. The cubic root of 75360960 is about 422.3917956395.

The spelling of 75360960 in words is "seventy-five million, three hundred sixty thousand, nine hundred sixty".