75638850 has 144 divisors (see below), whose sum is σ = 224423136. Its totient is φ = 16800000.

The previous prime is 75638819. The next prime is 75638903. The reversal of 75638850 is 5883657.

75638850 is a nontrivial binomial coefficient, being equal to C(12300, 2).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 71 ways as a sum of consecutive naturals, for example, 301225 + ... + 301475.

It is an arithmetic number, because the mean of its divisors is an integer number (1558494).

Almost surely, 2^75638850 is an apocalyptic number.

75638850 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75638850 is the 12299-th triangular number and also the 6150-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75638850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112211568).

75638850 is an abundant number, since it is smaller than the sum of its proper divisors (148784286).

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

75638850 is a wasteful number, since it uses less digits than its factorization.

75638850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 75638850 is about 8697.0598480176. The cubic root of 75638850 is about 422.9103420906.

The spelling of 75638850 in words is "seventy-five million, six hundred thirty-eight thousand, eight hundred fifty".