75705408 has 112 divisors (see below), whose sum is σ = 224698560. Its totient is φ = 24993792.

The previous prime is 75705407. The next prime is 75705419. The reversal of 75705408 is 80450757.

It is a super-3 number, since 3×75705408³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (75705407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333391 + ... + 333617.

Almost surely, 2^75705408 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 75705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112349280).

75705408 is an abundant number, since it is smaller than the sum of its proper divisors (148993152).

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

75705408 is a wasteful number, since it uses less digits than its factorization.

75705408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 75705408 is about 8700.8854721804. The cubic root of 75705408 is about 423.0343516190.

The spelling of 75705408 in words is "seventy-five million, seven hundred five thousand, four hundred eight".