75814816 has 96 divisors (see below), whose sum is σ = 192689280. Its totient is φ = 28492800.

The previous prime is 75814811. The next prime is 75814847. The reversal of 75814816 is 61841857.

It is a super-2 number, since 2×75814816² = 11495772650227712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75814811) 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, 70926 + ... + 71986.

It is an arithmetic number, because the mean of its divisors is an integer number (2007180).

Almost surely, 2^75814816 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 75814816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96344640).

75814816 is an abundant number, since it is smaller than the sum of its proper divisors (116874464).

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

75814816 is a wasteful number, since it uses less digits than its factorization.

75814816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1110 counting only the distinct ones).

The product of its digits is 53760, while the sum is 40.

The square root of 75814816 is about 8707.1703784869. The cubic root of 75814816 is about 423.2380405650.

The spelling of 75814816 in words is "seventy-five million, eight hundred fourteen thousand, eight hundred sixteen".