85785300 has 54 divisors (see below), whose sum is σ = 268892078. Its totient is φ = 22875840.

The previous prime is 85785299. The next prime is 85785313. The reversal of 85785300 is 358758.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 20466576 + 65318724 = 4524^2 + 8082^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46759 + ... + 48558.

Almost surely, 2^85785300 is an apocalyptic number.

It is an amenable number.

85785300 is an abundant number, since it is smaller than the sum of its proper divisors (183106778).

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

85785300 is a wasteful number, since it uses less digits than its factorization.

85785300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95337 (or 95327 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 85785300 is about 9262.0354134499. The cubic root of 85785300 is about 441.0328696558.

The spelling of 85785300 in words is "eighty-five million, seven hundred eighty-five thousand, three hundred".