75530880 has 320 divisors, whose sum is σ = 284359680. Its totient is φ = 19077120.

The previous prime is 75530879. The next prime is 75530891. The reversal of 75530880 is 8803557.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1607017 + ... + 1607063.

It is an arithmetic number, because the mean of its divisors is an integer number (888624).

Almost surely, 2^75530880 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 75530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142179840).

75530880 is an abundant number, since it is smaller than the sum of its proper divisors (208828800).

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

75530880 is a wasteful number, since it uses less digits than its factorization.

75530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 75530880 is about 8690.8503611557. The cubic root of 75530880 is about 422.7090197397.

The spelling of 75530880 in words is "seventy-five million, five hundred thirty thousand, eight hundred eighty".