867839280 has 320 divisors, whose sum is σ = 3387211776. Its totient is φ = 178560000.

The previous prime is 867839279. The next prime is 867839281. The reversal of 867839280 is 82938768.

867839280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (867839279) and next prime (867839281).

It is not an unprimeable number, because it can be changed into a prime (867839281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2790325 + ... + 2790635.

Almost surely, 2^867839280 is an apocalyptic number.

867839280 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 867839280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693605888).

867839280 is an abundant number, since it is smaller than the sum of its proper divisors (2519372496).

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

867839280 is a wasteful number, since it uses less digits than its factorization.

867839280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 867839280 is about 29459.1120029101. The cubic root of 867839280 is about 953.8493052939.

The spelling of 867839280 in words is "eight hundred sixty-seven million, eight hundred thirty-nine thousand, two hundred eighty".