75888640 has 48 divisors (see below), whose sum is σ = 182112840. Its totient is φ = 30351360.

The previous prime is 75888623. The next prime is 75888647. The reversal of 75888640 is 4688857.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75888647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6535 + ... + 13945.

Almost surely, 2^75888640 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 75888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91056420).

75888640 is an abundant number, since it is smaller than the sum of its proper divisors (106224200).

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

75888640 is an equidigital number, since it uses as much as digits as its factorization.

75888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7438 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 75888640 is about 8711.4086116999. The cubic root of 75888640 is about 423.3753707540.

It can be divided in two parts, 758 and 88640, that added together give a palindrome (89398).

The spelling of 75888640 in words is "seventy-five million, eight hundred eighty-eight thousand, six hundred forty".