75892480 has 72 divisors (see below), whose sum is σ = 183297744. Its totient is φ = 30105600.

The previous prime is 75892469. The next prime is 75892483. The reversal of 75892480 is 8429857.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75892483) by changing a digit.

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, 269940 + ... + 270220.

It is an arithmetic number, because the mean of its divisors is an integer number (2545802).

Almost surely, 2^75892480 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 75892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91648872).

75892480 is an abundant number, since it is smaller than the sum of its proper divisors (107405264).

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

75892480 is a wasteful number, since it uses less digits than its factorization.

75892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 75892480 is about 8711.6290095481. The cubic root of 75892480 is about 423.3825116296.

The spelling of 75892480 in words is "seventy-five million, eight hundred ninety-two thousand, four hundred eighty".