75809916 has 144 divisors (see below), whose sum is σ = 239838144. Its totient is φ = 19657728.

The previous prime is 75809887. The next prime is 75809917. The reversal of 75809916 is 61990857.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75809917) 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 47 ways as a sum of consecutive naturals, for example, 238990 + ... + 239306.

Almost surely, 2^75809916 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 75809916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119919072).

75809916 is an abundant number, since it is smaller than the sum of its proper divisors (164028228).

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

75809916 is a wasteful number, since it uses less digits than its factorization.

75809916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 75809916 is about 8706.8889966509. Note that the first 3 decimals coincide. The cubic root of 75809916 is about 423.2289222458.

The spelling of 75809916 in words is "seventy-five million, eight hundred nine thousand, nine hundred sixteen".