75808080 has 120 divisors (see below), whose sum is σ = 256308000. Its totient is φ = 20079360.

The previous prime is 75808063. The next prime is 75808099. The reversal of 75808080 is 8080857.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151671 + ... + 152169.

It is an arithmetic number, because the mean of its divisors is an integer number (2135900).

Almost surely, 2^75808080 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 75808080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128154000).

75808080 is an abundant number, since it is smaller than the sum of its proper divisors (180499920).

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

75808080 is a wasteful number, since it uses less digits than its factorization.

75808080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 75808080 is about 8706.7835622576. The cubic root of 75808080 is about 423.2255055662.

The spelling of 75808080 in words is "seventy-five million, eight hundred eight thousand, eighty".