85780000 has 60 divisors (see below), whose sum is σ = 211080870. Its totient is φ = 34304000.

The previous prime is 85779989. The next prime is 85780001. The reversal of 85780000 is 8758.

It can be written as a sum of positive squares in 5 ways, for example, as 11751184 + 74028816 = 3428^2 + 8604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85780001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17856 + ... + 22144.

Almost surely, 2^85780000 is an apocalyptic number.

85780000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105540435).

85780000 is an abundant number, since it is smaller than the sum of its proper divisors (125300870).

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

85780000 is an equidigital number, since it uses as much as digits as its factorization.

85780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 85780000 is about 9261.7492948147. The cubic root of 85780000 is about 441.0237868162.

Adding to 85780000 its reverse (8758), we get a palindrome (85788758).

It can be divided in two parts, 8 and 5780000, that multiplied together give a square (46240000 = 6800²).

The spelling of 85780000 in words is "eighty-five million, seven hundred eighty thousand".