75809880 has 96 divisors (see below), whose sum is σ = 254367360. Its totient is φ = 19560960.

The previous prime is 75809869. The next prime is 75809887. The reversal of 75809880 is 8890857.

It is a super-2 number, since 2×75809880² = 11494275811228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75809887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7764 + ... + 14556.

It is an arithmetic number, because the mean of its divisors is an integer number (2649660).

Almost surely, 2^75809880 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 75809880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127183680).

75809880 is an abundant number, since it is smaller than the sum of its proper divisors (178557480).

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

75809880 is a wasteful number, since it uses less digits than its factorization.

75809880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6834 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 75809880 is about 8706.8869293221. The cubic root of 75809880 is about 423.2288552526.

The spelling of 75809880 in words is "seventy-five million, eight hundred nine thousand, eight hundred eighty".