75681408 has 256 divisors, whose sum is σ = 246758400. Its totient is φ = 20275200.

The previous prime is 75681401. The next prime is 75681439. The reversal of 75681408 is 80418657.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (75681401) 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, 1845868 + ... + 1845908.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 2^75681408 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 75681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

75681408 is an abundant number, since it is smaller than the sum of its proper divisors (171076992).

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

75681408 is a wasteful number, since it uses less digits than its factorization.

75681408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 75681408 is about 8699.5061928824. The cubic root of 75681408 is about 422.9896436834.

The spelling of 75681408 in words is "seventy-five million, six hundred eighty-one thousand, four hundred eight".