75985920 has 264 divisors, whose sum is σ = 281650824. Its totient is φ = 18874368.

The previous prime is 75985909. The next prime is 75985927. The reversal of 75985920 is 2958957.

It is a happy number.

75985920 is a `hidden beast` number, since 7 + 59 + 8 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14017536 + 61968384 = 3744^2 + 7872^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75985927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783312 + ... + 783408.

Almost surely, 2^75985920 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 75985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140825412).

75985920 is an abundant number, since it is smaller than the sum of its proper divisors (205664904).

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

75985920 is a wasteful number, since it uses less digits than its factorization.

75985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 75985920 is about 8716.9903062926. The cubic root of 75985920 is about 423.5561987415.

The spelling of 75985920 in words is "seventy-five million, nine hundred eighty-five thousand, nine hundred twenty".