75535680 has 224 divisors, whose sum is σ = 273881088. Its totient is φ = 17459200.

The previous prime is 75535661. The next prime is 75535739. The reversal of 75535680 is 8653557.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 242725 + ... + 243035.

Almost surely, 2^75535680 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 75535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136940544).

75535680 is an abundant number, since it is smaller than the sum of its proper divisors (198345408).

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

75535680 is a wasteful number, since it uses less digits than its factorization.

75535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 75535680 is about 8691.1265092622. The cubic root of 75535680 is about 422.7179739596.

The spelling of 75535680 in words is "seventy-five million, five hundred thirty-five thousand, six hundred eighty".