75660768 has 72 divisors (see below), whose sum is σ = 222604200. Its totient is φ = 24347904.

The previous prime is 75660763. The next prime is 75660773. The reversal of 75660768 is 86706657.

It is an interprime number because it is at equal distance from previous prime (75660763) and next prime (75660773).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75660763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3823 + ... + 12881.

It is an arithmetic number, because the mean of its divisors is an integer number (3091725).

Almost surely, 2^75660768 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 75660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111302100).

75660768 is an abundant number, since it is smaller than the sum of its proper divisors (146943432).

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

75660768 is a wasteful number, since it uses less digits than its factorization.

75660768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9104 (or 9093 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 75660768 is about 8698.3198377618. The cubic root of 75660768 is about 422.9511872987.

The spelling of 75660768 in words is "seventy-five million, six hundred sixty thousand, seven hundred sixty-eight".