75630800 has 60 divisors (see below), whose sum is σ = 207668256. Its totient is φ = 25929600.

The previous prime is 75630799. The next prime is 75630809. The reversal of 75630800 is 803657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75630809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10706 + ... + 16305.

Almost surely, 2^75630800 is an apocalyptic number.

75630800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75630800 is an abundant number, since it is smaller than the sum of its proper divisors (132037456).

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

75630800 is a wasteful number, since it uses less digits than its factorization.

75630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27036 (or 27025 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 75630800 is about 8696.5970356226. The cubic root of 75630800 is about 422.8953385617.

The spelling of 75630800 in words is "seventy-five million, six hundred thirty thousand, eight hundred".