75846368 has 48 divisors (see below), whose sum is σ = 166380480. Its totient is φ = 33793536.

The previous prime is 75846361. The next prime is 75846373. The reversal of 75846368 is 86364857.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75846361) 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, 8921 + ... + 15207.

It is an arithmetic number, because the mean of its divisors is an integer number (3466260).

Almost surely, 2^75846368 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 75846368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83190240).

75846368 is an abundant number, since it is smaller than the sum of its proper divisors (90534112).

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

75846368 is a wasteful number, since it uses less digits than its factorization.

75846368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339 (or 6331 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 75846368 is about 8708.9820300653. The cubic root of 75846368 is about 423.2967456892.

The spelling of 75846368 in words is "seventy-five million, eight hundred forty-six thousand, three hundred sixty-eight".