85789200 has 180 divisors, whose sum is σ = 319897680. Its totient is φ = 19595520.

The previous prime is 85789141. The next prime is 85789201. The reversal of 85789200 is 298758.

It is not an unprimeable number, because it can be changed into a prime (85789201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58071 + ... + 59529.

Almost surely, 2^85789200 is an apocalyptic number.

85789200 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 85789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159948840).

85789200 is an abundant number, since it is smaller than the sum of its proper divisors (234108480).

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

85789200 is a wasteful number, since it uses less digits than its factorization.

85789200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 85789200 is about 9262.2459479329. The cubic root of 85789200 is about 441.0395530158.

The spelling of 85789200 in words is "eighty-five million, seven hundred eighty-nine thousand, two hundred".