85758400 has 336 divisors, whose sum is σ = 282204160. Its totient is φ = 24883200.

The previous prime is 85758389. The next prime is 85758403. The reversal of 85758400 is 485758.

It is a self number, because there is not a number n which added to its sum of digits gives 85758400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85758403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2766385 + ... + 2766415.

Almost surely, 2^85758400 is an apocalyptic number.

85758400 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 85758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141102080).

85758400 is an abundant number, since it is smaller than the sum of its proper divisors (196445760).

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

85758400 is a wasteful number, since it uses less digits than its factorization.

85758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 85758400 is about 9260.5831349867. The cubic root of 85758400 is about 440.9867660908.

The spelling of 85758400 in words is "eighty-five million, seven hundred fifty-eight thousand, four hundred".