75449808 has 270 divisors, whose sum is σ = 267979686. Its totient is φ = 19740672.

The previous prime is 75449789. The next prime is 75449809. The reversal of 75449808 is 80894457.

It can be written as a sum of positive squares in 3 ways, for example, as 47444544 + 28005264 = 6888^2 + 5292^2 .

It is a super-3 number, since 3×75449808³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75449809) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2039166 + ... + 2039202.

Almost surely, 2^75449808 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 75449808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133989843).

75449808 is an abundant number, since it is smaller than the sum of its proper divisors (192529878).

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

75449808 is a wasteful number, since it uses less digits than its factorization.

75449808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 75449808 is about 8686.1848932659. The cubic root of 75449808 is about 422.5577256187.

The spelling of 75449808 in words is "seventy-five million, four hundred forty-nine thousand, eight hundred eight".