857980800 has 288 divisors, whose sum is σ = 3163517760. Its totient is φ = 221414400.

The previous prime is 857980771. The next prime is 857980807. The reversal of 857980800 is 8089758.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

857980800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×857980800² = 1472262106337280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857980807) 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, 27676785 + ... + 27676815.

Almost surely, 2^857980800 is an apocalyptic number.

857980800 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 857980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581758880).

857980800 is an abundant number, since it is smaller than the sum of its proper divisors (2305536960).

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

857980800 is an equidigital number, since it uses as much as digits as its factorization.

857980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 857980800 is about 29291.3092913239. The cubic root of 857980800 is about 950.2236961680.

The spelling of 857980800 in words is "eight hundred fifty-seven million, nine hundred eighty thousand, eight hundred".