75384630 has 96 divisors (see below), whose sum is σ = 214812000. Its totient is φ = 18256896.

The previous prime is 75384619. The next prime is 75384637. The reversal of 75384630 is 3648357.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75384637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43521 + ... + 45219.

It is an arithmetic number, because the mean of its divisors is an integer number (2237625).

Almost surely, 2^75384630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75384630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107406000).

75384630 is an abundant number, since it is smaller than the sum of its proper divisors (139427370).

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

75384630 is a wasteful number, since it uses less digits than its factorization.

75384630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 75384630 is about 8682.4322629088. The cubic root of 75384630 is about 422.4360137919.

The spelling of 75384630 in words is "seventy-five million, three hundred eighty-four thousand, six hundred thirty".