870643200 has 480 divisors, whose sum is σ = 3409781760. Its totient is φ = 191692800.

The previous prime is 870643183. The next prime is 870643201. The reversal of 870643200 is 2346078.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870643201) 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, 11020761 + ... + 11020839.

It is an arithmetic number, because the mean of its divisors is an integer number (7103712).

Almost surely, 2^870643200 is an apocalyptic number.

870643200 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 870643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704890880).

870643200 is an abundant number, since it is smaller than the sum of its proper divisors (2539138560).

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

870643200 is a wasteful number, since it uses less digits than its factorization.

870643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 870643200 is about 29506.6636541646. The cubic root of 870643200 is about 954.8754714594.

Adding to 870643200 its reverse (2346078), we get a palindrome (872989278).

The spelling of 870643200 in words is "eight hundred seventy million, six hundred forty-three thousand, two hundred".