75850 has 24 divisors (see below), whose sum is σ = 148428. Its totient is φ = 28800.

The previous prime is 75833. The next prime is 75853. The reversal of 75850 is 5857.

75850 = 26² + 27² + ... + 62².

It can be written as a sum of positive squares in 6 ways, for example, as 23409 + 52441 = 153^2 + 229^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (75853) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1830 + ... + 1870.

2⁷⁵⁸⁵⁰ is an apocalyptic number.

75850 is a deficient number, since it is larger than the sum of its proper divisors (72578).

75850 is a wasteful number, since it uses less digits than its factorization.

75850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 75850 is about 275.4087870784. The cubic root of 75850 is about 42.3303502283.

It can be divided in two parts, 758 and 50, that added together give a palindrome (808).

The spelling of 75850 in words is "seventy-five thousand, eight hundred fifty".