85782850 has 48 divisors (see below), whose sum is σ = 172944288. Its totient is φ = 31530240.

The previous prime is 85782821. The next prime is 85782857. The reversal of 85782850 is 5828758.

It is a Smith number, since the sum of its digits (43) 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 (43).

It is a junction number, because it is equal to n+sod(n) for n = 85782797 and 85782806.

It is not an unprimeable number, because it can be changed into a prime (85782857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35377 + ... + 37723.

It is an arithmetic number, because the mean of its divisors is an integer number (3603006).

Almost surely, 2^85782850 is an apocalyptic number.

85782850 is an abundant number, since it is smaller than the sum of its proper divisors (87161438).

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

85782850 is a wasteful number, since it uses less digits than its factorization.

85782850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

The square root of 85782850 is about 9261.9031521605. The cubic root of 85782850 is about 441.0286710312.

The spelling of 85782850 in words is "eighty-five million, seven hundred eighty-two thousand, eight hundred fifty".