75920050080 has 576 divisors, whose sum is σ = 307365746688. Its totient is φ = 16704092160.

The previous prime is 75920050027. The next prime is 75920050093. The reversal of 75920050080 is 8005002957.

75920050080 is a `hidden beast` number, since 7 + 59 + 20 + 0 + 500 + 80 = 666.

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

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, 30773007 + ... + 30775473.

It is an arithmetic number, because the mean of its divisors is an integer number (533621088).

Almost surely, 2^75920050080 is an apocalyptic number.

75920050080 is a gapful number since it is divisible by the number (70) 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 75920050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153682873344).

75920050080 is an abundant number, since it is smaller than the sum of its proper divisors (231445696608).

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

75920050080 is a wasteful number, since it uses less digits than its factorization.

75920050080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 75920050080 in words is "seventy-five billion, nine hundred twenty million, fifty thousand, eighty".