867809280 has 384 divisors, whose sum is σ = 3120586560. Its totient is φ = 204472320.

The previous prime is 867809213. The next prime is 867809281. The reversal of 867809280 is 82908768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867809281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16373734 + ... + 16373786.

Almost surely, 2^867809280 is an apocalyptic number.

867809280 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 867809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560293280).

867809280 is an abundant number, since it is smaller than the sum of its proper divisors (2252777280).

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

867809280 is a wasteful number, since it uses less digits than its factorization.

867809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 867809280 is about 29458.6028181922. The cubic root of 867809280 is about 953.8383140848.

The spelling of 867809280 in words is "eight hundred sixty-seven million, eight hundred nine thousand, two hundred eighty".