75334080 has 112 divisors (see below), whose sum is σ = 241950240. Its totient is φ = 19857408.

The previous prime is 75334079. The next prime is 75334111. The reversal of 75334080 is 8043357.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 92716 + ... + 93524.

It is an arithmetic number, because the mean of its divisors is an integer number (2160270).

Almost surely, 2^75334080 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 75334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120975120).

75334080 is an abundant number, since it is smaller than the sum of its proper divisors (166616160).

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

75334080 is a wasteful number, since it uses less digits than its factorization.

75334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 75334080 is about 8679.5207240953. The cubic root of 75334080 is about 422.3415696266.

The spelling of 75334080 in words is "seventy-five million, three hundred thirty-four thousand, eighty".