75290880 has 144 divisors (see below), whose sum is σ = 274909824. Its totient is φ = 17203200.

The previous prime is 75290867. The next prime is 75290881. The reversal of 75290880 is 8809257.

It is a super-2 number, since 2×75290880² = 11337433222348800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75290881) 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 15 ways as a sum of consecutive naturals, for example, 25480 + ... + 28280.

It is an arithmetic number, because the mean of its divisors is an integer number (1909096).

Almost surely, 2^75290880 is an apocalyptic number.

75290880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137454912).

75290880 is an abundant number, since it is smaller than the sum of its proper divisors (199618944).

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

75290880 is a wasteful number, since it uses less digits than its factorization.

75290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 75290880 is about 8677.0317505470. The cubic root of 75290880 is about 422.2608242125.

The spelling of 75290880 in words is "seventy-five million, two hundred ninety thousand, eight hundred eighty".