75384816 has 60 divisors (see below), whose sum is σ = 210899448. Its totient is φ = 23192832.

The previous prime is 75384809. The next prime is 75384821. The reversal of 75384816 is 61848357.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3466 + ... + 12758.

Almost surely, 2^75384816 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 75384816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105449724).

75384816 is an abundant number, since it is smaller than the sum of its proper divisors (135514632).

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

75384816 is a wasteful number, since it uses less digits than its factorization.

75384816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 9311 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 75384816 is about 8682.4429741865. The cubic root of 75384816 is about 422.4363612236.

The spelling of 75384816 in words is "seventy-five million, three hundred eighty-four thousand, eight hundred sixteen".