75838680 has 160 divisors (see below), whose sum is σ = 258746400. Its totient is φ = 19920384.

The previous prime is 75838673. The next prime is 75838681. The reversal of 75838680 is 8683857.

75838680 is a `hidden beast` number, since 7 + 583 + 8 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75838681) 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 39 ways as a sum of consecutive naturals, for example, 288229 + ... + 288491.

It is an arithmetic number, because the mean of its divisors is an integer number (1617165).

Almost surely, 2^75838680 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 75838680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129373200).

75838680 is an abundant number, since it is smaller than the sum of its proper divisors (182907720).

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

75838680 is a wasteful number, since it uses less digits than its factorization.

75838680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 75838680 is about 8708.5406354911. The cubic root of 75838680 is about 423.2824430252.

The spelling of 75838680 in words is "seventy-five million, eight hundred thirty-eight thousand, six hundred eighty".