75830328 has 96 divisors (see below), whose sum is σ = 240240000. Its totient is φ = 21155904.

The previous prime is 75830327. The next prime is 75830357. The reversal of 75830328 is 82303857.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75830292 and 75830301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75830323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19923 + ... + 23421.

It is an arithmetic number, because the mean of its divisors is an integer number (2502500).

Almost surely, 2^75830328 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 75830328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120120000).

75830328 is an abundant number, since it is smaller than the sum of its proper divisors (164409672).

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

75830328 is a wasteful number, since it uses less digits than its factorization.

75830328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 75830328 is about 8708.0610930333. The cubic root of 75830328 is about 423.2669039681.

The spelling of 75830328 in words is "seventy-five million, eight hundred thirty thousand, three hundred twenty-eight".