75888900 has 144 divisors (see below), whose sum is σ = 247692480. Its totient is φ = 20178720.

The previous prime is 75888889. The next prime is 75888929. The reversal of 75888900 is 988857.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218527 + ... + 218873.

Almost surely, 2^75888900 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 75888900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123846240).

75888900 is an abundant number, since it is smaller than the sum of its proper divisors (171803580).

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

75888900 is a wasteful number, since it uses less digits than its factorization.

75888900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 357 counting only the distinct ones).

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

The square root of 75888900 is about 8711.4235346469. The cubic root of 75888900 is about 423.3758542584.

The spelling of 75888900 in words is "seventy-five million, eight hundred eighty-eight thousand, nine hundred".