75345408 has 120 divisors (see below), whose sum is σ = 221188968. Its totient is φ = 24686592.

The previous prime is 75345359. The next prime is 75345409. The reversal of 75345408 is 80454357.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75345409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382366 + ... + 382562.

Almost surely, 2^75345408 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 75345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110594484).

75345408 is an abundant number, since it is smaller than the sum of its proper divisors (145843560).

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

75345408 is a wasteful number, since it uses less digits than its factorization.

75345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 75345408 is about 8680.1732701600. The cubic root of 75345408 is about 422.3627377598.

The spelling of 75345408 in words is "seventy-five million, three hundred forty-five thousand, four hundred eight".