75864100 has 81 divisors (see below), whose sum is σ = 180963027. Its totient is φ = 27593280.

The previous prime is 75864079. The next prime is 75864121. The reversal of 75864100 is 146857.

The square root of 75864100 is 8710.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (75864079) and next prime (75864121).

It can be written as a sum of positive squares in 4 ways, for example, as 19554084 + 56310016 = 4422^2 + 7504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1132267 + ... + 1132333.

Almost surely, 2^75864100 is an apocalyptic number.

75864100 is the 8710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75864100

75864100 is an abundant number, since it is smaller than the sum of its proper divisors (105098927).

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

75864100 is a wasteful number, since it uses less digits than its factorization.

75864100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The cubic root of 75864100 is about 423.3297304066.

The spelling of 75864100 in words is "seventy-five million, eight hundred sixty-four thousand, one hundred".