75885540 has 96 divisors (see below), whose sum is σ = 221168640. Its totient is φ = 19426176.

The previous prime is 75885539. The next prime is 75885541. The reversal of 75885540 is 4558857.

75885540 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (75885539) and next prime (75885541).

It is a junction number, because it is equal to n+sod(n) for n = 75885492 and 75885501.

It is not an unprimeable number, because it can be changed into a prime (75885541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172641 + ... + 173079.

It is an arithmetic number, because the mean of its divisors is an integer number (2303840).

Almost surely, 2^75885540 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 75885540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110584320).

75885540 is an abundant number, since it is smaller than the sum of its proper divisors (145283100).

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

75885540 is a wasteful number, since it uses less digits than its factorization.

75885540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The square root of 75885540 is about 8711.2306822859. The cubic root of 75885540 is about 423.3696058090.

The spelling of 75885540 in words is "seventy-five million, eight hundred eighty-five thousand, five hundred forty".