85780288 has 112 divisors (see below), whose sum is σ = 200802240. Its totient is φ = 36241920.

The previous prime is 85780267. The next prime is 85780309. The reversal of 85780288 is 88208758.

It is an interprime number because it is at equal distance from previous prime (85780267) and next prime (85780309).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1618470 + ... + 1618522.

Almost surely, 2^85780288 is an apocalyptic number.

85780288 is a gapful number since it is divisible by the number (88) 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 85780288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100401120).

85780288 is an abundant number, since it is smaller than the sum of its proper divisors (115021952).

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

85780288 is a wasteful number, since it uses less digits than its factorization.

85780288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

The square root of 85780288 is about 9261.7648426204. The cubic root of 85780288 is about 441.0242803839.

It can be divided in two parts, 85780 and 288, that added together give a palindrome (86068).

The spelling of 85780288 in words is "eighty-five million, seven hundred eighty thousand, two hundred eighty-eight".