867200000 has 132 divisors (see below), whose sum is σ = 2174798304. Its totient is φ = 345600000.

The previous prime is 867199997. The next prime is 867200003. The reversal of 867200000 is 2768.

It is an interprime number because it is at equal distance from previous prime (867199997) and next prime (867200003).

It is not an unprimeable number, because it can be changed into a prime (867200003) 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, 3199865 + ... + 3200135.

Almost surely, 2^867200000 is an apocalyptic number.

867200000 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 867200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087399152).

867200000 is an abundant number, since it is smaller than the sum of its proper divisors (1307598304).

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

867200000 is an frugal number, since it uses more digits than its factorization.

867200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 867200000 is about 29448.2597108895. The cubic root of 867200000 is about 953.6150351217.

Adding to 867200000 its reverse (2768), we get a palindrome (867202768).

The spelling of 867200000 in words is "eight hundred sixty-seven million, two hundred thousand".