75868640 has 96 divisors (see below), whose sum is σ = 188606880. Its totient is φ = 28801024.

The previous prime is 75868633. The next prime is 75868649. The reversal of 75868640 is 4686857.

It is a junction number, because it is equal to n+sod(n) for n = 75868591 and 75868600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75868649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385022 + ... + 385218.

It is an arithmetic number, because the mean of its divisors is an integer number (1964655).

Almost surely, 2^75868640 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 75868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94303440).

75868640 is an abundant number, since it is smaller than the sum of its proper divisors (112738240).

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

75868640 is a wasteful number, since it uses less digits than its factorization.

75868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 75868640 is about 8710.2606160780. The cubic root of 75868640 is about 423.3381747988.

The spelling of 75868640 in words is "seventy-five million, eight hundred sixty-eight thousand, six hundred forty".