75560320 has 64 divisors (see below), whose sum is σ = 197076240. Its totient is φ = 27473920.

The previous prime is 75560311. The next prime is 75560323. The reversal of 75560320 is 2306557.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75560323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1674 + ... + 12406.

Almost surely, 2^75560320 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 75560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98538120).

75560320 is an abundant number, since it is smaller than the sum of its proper divisors (121515920).

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

75560320 is a wasteful number, since it uses less digits than its factorization.

75560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763 (or 10751 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 75560320 is about 8692.5439314392. The cubic root of 75560320 is about 422.7639329842.

Adding to 75560320 its reverse (2306557), we get a palindrome (77866877).

It can be divided in two parts, 755 and 60320, that added together give a triangular number (61075 = T₃₄₉).

The spelling of 75560320 in words is "seventy-five million, five hundred sixty thousand, three hundred twenty".