75809085408 has 576 divisors, whose sum is σ = 271376179200. Its totient is φ = 20498365440.

The previous prime is 75809085367. The next prime is 75809085419. The reversal of 75809085408 is 80458090857.

75809085408 is a `hidden beast` number, since 7 + 5 + 8 + 0 + 90 + 8 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61682938 + ... + 61684166.

It is an arithmetic number, because the mean of its divisors is an integer number (471139200).

Almost surely, 2^75809085408 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 75809085408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135688089600).

75809085408 is an abundant number, since it is smaller than the sum of its proper divisors (195567093792).

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

75809085408 is a wasteful number, since it uses less digits than its factorization.

75809085408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 75809085408 in words is "seventy-five billion, eight hundred nine million, eighty-five thousand, four hundred eight".