75853404 has 144 divisors (see below), whose sum is σ = 223082496. Its totient is φ = 21513600.

The previous prime is 75853387. The next prime is 75853411. The reversal of 75853404 is 40435857.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454129 + ... + 454295.

It is an arithmetic number, because the mean of its divisors is an integer number (1549184).

Almost surely, 2^75853404 is an apocalyptic number.

75853404 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75853404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248).

75853404 is an abundant number, since it is smaller than the sum of its proper divisors (147229092).

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

75853404 is a wasteful number, since it uses less digits than its factorization.

75853404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

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

The square root of 75853404 is about 8709.3859714678. The cubic root of 75853404 is about 423.3098345331.

The spelling of 75853404 in words is "seventy-five million, eight hundred fifty-three thousand, four hundred four".