75281680 has 80 divisors (see below), whose sum is σ = 186171120. Its totient is φ = 28256256.

The previous prime is 75281659. The next prime is 75281681. The reversal of 75281680 is 8618257.

It can be written as a sum of positive squares in 8 ways, for example, as 9217296 + 66064384 = 3036^2 + 8128^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (75281681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85402 + ... + 86278.

It is an arithmetic number, because the mean of its divisors is an integer number (2327139).

Almost surely, 2^75281680 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 75281680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93085560).

75281680 is an abundant number, since it is smaller than the sum of its proper divisors (110889440).

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

75281680 is a wasteful number, since it uses less digits than its factorization.

75281680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 75281680 is about 8676.5015991470. The cubic root of 75281680 is about 422.2436244409.

The spelling of 75281680 in words is "seventy-five million, two hundred eighty-one thousand, six hundred eighty".