85890780 has 168 divisors, whose sum is σ = 278741232. Its totient is φ = 22208256.

The previous prime is 85890769. The next prime is 85890781. The reversal of 85890780 is 8709858.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85890781) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 626872 + ... + 627008.

It is an arithmetic number, because the mean of its divisors is an integer number (1659174).

Almost surely, 2^85890780 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 85890780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139370616).

85890780 is an abundant number, since it is smaller than the sum of its proper divisors (192850452).

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

85890780 is a wasteful number, since it uses less digits than its factorization.

85890780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

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

The square root of 85890780 is about 9267.7278768855. The cubic root of 85890780 is about 441.2135575411.

The spelling of 85890780 in words is "eighty-five million, eight hundred ninety thousand, seven hundred eighty".