75801083904 has 720 divisors, whose sum is σ = 282399112800. Its totient is φ = 19917176832.

The previous prime is 75801083849. The next prime is 75801083909. The reversal of 75801083904 is 40938010857.

It is a self number, because there is not a number n which added to its sum of digits gives 75801083904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75801083909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281788282 + ... + 281788550.

It is an arithmetic number, because the mean of its divisors is an integer number (392220990).

Almost surely, 2^75801083904 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 75801083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141199556400).

75801083904 is an abundant number, since it is smaller than the sum of its proper divisors (206598028896).

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

75801083904 is a wasteful number, since it uses less digits than its factorization.

75801083904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 75801083904 in words is "seventy-five billion, eight hundred one million, eighty-three thousand, nine hundred four".