75991040 has 96 divisors (see below), whose sum is σ = 187813080. Its totient is φ = 29491200.

The previous prime is 75991039. The next prime is 75991063. The reversal of 75991040 is 4019957.

It can be written as a sum of positive squares in 4 ways, for example, as 16516096 + 59474944 = 4064^2 + 7712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419750 + ... + 419930.

Almost surely, 2^75991040 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 75991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93906540).

75991040 is an abundant number, since it is smaller than the sum of its proper divisors (111822040).

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

75991040 is a wasteful number, since it uses less digits than its factorization.

75991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 75991040 is about 8717.2839806903. The cubic root of 75991040 is about 423.5657117277.

The spelling of 75991040 in words is "seventy-five million, nine hundred ninety-one thousand, forty".