75879568 has 40 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 34552320.

The previous prime is 75879533. The next prime is 75879569. The reversal of 75879568 is 86597857.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (75879569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3933 + ... + 12931.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2^75879568 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 75879568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

75879568 is an abundant number, since it is smaller than the sum of its proper divisors (84824432).

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

75879568 is a wasteful number, since it uses less digits than its factorization.

75879568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055 (or 9049 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 55.

The square root of 75879568 is about 8710.8878996346. The cubic root of 75879568 is about 423.3584994787.

The spelling of 75879568 in words is "seventy-five million, eight hundred seventy-nine thousand, five hundred sixty-eight".