75882240 has 216 divisors, whose sum is σ = 300369888. Its totient is φ = 17326080.

The previous prime is 75882239. The next prime is 75882251. The reversal of 75882240 is 4228857.

It is a happy number.

It is a super-2 number, since 2×75882240² = 11516228694835200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 75882195 and 75882204.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 80170 + ... + 81110.

Almost surely, 2^75882240 is an apocalyptic number.

75882240 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 75882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150184944).

75882240 is an abundant number, since it is smaller than the sum of its proper divisors (224487648).

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

75882240 is a wasteful number, since it uses less digits than its factorization.

75882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 75882240 is about 8711.0412695613. The cubic root of 75882240 is about 423.3634687594.

The spelling of 75882240 in words is "seventy-five million, eight hundred eighty-two thousand, two hundred forty".