75850560 has 112 divisors (see below), whose sum is σ = 267614400. Its totient is φ = 20224512.

The previous prime is 75850543. The next prime is 75850561. The reversal of 75850560 is 6505857.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75850561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4251 + ... + 13029.

Almost surely, 2^75850560 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 75850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133807200).

75850560 is an abundant number, since it is smaller than the sum of its proper divisors (191763840).

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

75850560 is a wasteful number, since it uses less digits than its factorization.

75850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8789 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 75850560 is about 8709.2226978072. Note that the first 3 decimals coincide. The cubic root of 75850560 is about 423.3045440291.

The spelling of 75850560 in words is "seventy-five million, eight hundred fifty thousand, five hundred sixty".