75661120 has 56 divisors (see below), whose sum is σ = 182029608. Its totient is φ = 29952000.

The previous prime is 75661109. The next prime is 75661129. The reversal of 75661120 is 2116657.

It can be written as a sum of positive squares in 4 ways, for example, as 30824704 + 44836416 = 5552^2 + 6696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75661129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31150 + ... + 33490.

Almost surely, 2^75661120 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 75661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91014804).

75661120 is an abundant number, since it is smaller than the sum of its proper divisors (106368488).

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

75661120 is a wasteful number, since it uses less digits than its factorization.

75661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 75661120 is about 8698.3400715309. The cubic root of 75661120 is about 422.9518432026.

Adding to 75661120 its reverse (2116657), we get a palindrome (77777777).

The spelling of 75661120 in words is "seventy-five million, six hundred sixty-one thousand, one hundred twenty".