857540800 has 84 divisors (see below), whose sum is σ = 2130231960. Its totient is φ = 339742720.

The previous prime is 857540797. The next prime is 857540807. The reversal of 857540800 is 8045758.

It is a self number, because there is not a number n which added to its sum of digits gives 857540800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857540807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168696 + ... + 173704.

Almost surely, 2^857540800 is an apocalyptic number.

857540800 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 857540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065115980).

857540800 is an abundant number, since it is smaller than the sum of its proper divisors (1272691160).

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

857540800 is a wasteful number, since it uses less digits than its factorization.

857540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5123 counting only the distinct ones).

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

The square root of 857540800 is about 29283.7975679385. The cubic root of 857540800 is about 950.0612333568.

The spelling of 857540800 in words is "eight hundred fifty-seven million, five hundred forty thousand, eight hundred".