75663960 has 64 divisors (see below), whose sum is σ = 230860800. Its totient is φ = 19833216.

The previous prime is 75663953. The next prime is 75664007. The reversal of 75663960 is 6936657.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1737 + ... + 12423.

It is an arithmetic number, because the mean of its divisors is an integer number (3607200).

Almost surely, 2^75663960 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 75663960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115430400).

75663960 is an abundant number, since it is smaller than the sum of its proper divisors (155196840).

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

75663960 is a wasteful number, since it uses less digits than its factorization.

75663960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10760 (or 10756 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 75663960 is about 8698.5033195372. The cubic root of 75663960 is about 422.9571350804.

The spelling of 75663960 in words is "seventy-five million, six hundred sixty-three thousand, nine hundred sixty".