75048880 has 80 divisors (see below), whose sum is σ = 186550560. Its totient is φ = 27979776.

The previous prime is 75048877. The next prime is 75048881. The reversal of 75048880 is 8884057.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (75048881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188842 + ... + 189238.

It is an arithmetic number, because the mean of its divisors is an integer number (2331882).

Almost surely, 2^75048880 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 75048880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93275280).

75048880 is an abundant number, since it is smaller than the sum of its proper divisors (111501680).

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

75048880 is a wasteful number, since it uses less digits than its factorization.

75048880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 75048880 is about 8663.0756662977. The cubic root of 75048880 is about 421.8079282855.

It can be divided in two parts, 7504 and 8880, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 75048880 in words is "seventy-five million, forty-eight thousand, eight hundred eighty".