75936816 has 60 divisors (see below), whose sum is σ = 213267600. Its totient is φ = 25223040.

The previous prime is 75936803. The next prime is 75936821. The reversal of 75936816 is 61863957.

It is a happy 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, 49501 + ... + 51011.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^75936816 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 75936816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106633800).

75936816 is an abundant number, since it is smaller than the sum of its proper divisors (137330784).

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

75936816 is a wasteful number, since it uses less digits than its factorization.

75936816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1865 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 75936816 is about 8714.1732826471. The cubic root of 75936816 is about 423.4649415484.

The spelling of 75936816 in words is "seventy-five million, nine hundred thirty-six thousand, eight hundred sixteen".