85708800 has 312 divisors, whose sum is σ = 325018880. Its totient is φ = 22118400.

The previous prime is 85708793. The next prime is 85708811. The reversal of 85708800 is 880758.

85708800 is a `hidden beast` number, since 8 + 570 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764785 + ... + 2764815.

Almost surely, 2^85708800 is an apocalyptic number.

85708800 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 85708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162509440).

85708800 is an abundant number, since it is smaller than the sum of its proper divisors (239310080).

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

85708800 is a wasteful number, since it uses less digits than its factorization.

85708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 85708800 is about 9257.9047305532. The cubic root of 85708800 is about 440.9017320034.

The spelling of 85708800 in words is "eighty-five million, seven hundred eight thousand, eight hundred".