75630100 has 72 divisors (see below), whose sum is σ = 202014848. Its totient is φ = 23932800.

The previous prime is 75630091. The next prime is 75630131. The reversal of 75630100 is 103657.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4945 + ... + 13255.

Almost surely, 2^75630100 is an apocalyptic number.

75630100 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 75630100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101007424).

75630100 is an abundant number, since it is smaller than the sum of its proper divisors (126384748).

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

75630100 is a wasteful number, since it uses less digits than its factorization.

75630100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8345 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 75630100 is about 8696.5567899025. The cubic root of 75630100 is about 422.8940338567.

Adding to 75630100 its reverse (103657), we get a palindrome (75733757).

The spelling of 75630100 in words is "seventy-five million, six hundred thirty thousand, one hundred".