867965280 has 384 divisors, whose sum is σ = 3479003136. Its totient is φ = 176947200.

The previous prime is 867965257. The next prime is 867965297. The reversal of 867965280 is 82569768.

867965280 is a nontrivial binomial coefficient, being equal to C(41665, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1353760 + ... + 1354400.

It is an arithmetic number, because the mean of its divisors is an integer number (9059904).

Almost surely, 2^867965280 is an apocalyptic number.

867965280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

867965280 is the 41664-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739501568).

867965280 is an abundant number, since it is smaller than the sum of its proper divisors (2611037856).

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

867965280 is a wasteful number, since it uses less digits than its factorization.

867965280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 867965280 is about 29461.2504826255. The cubic root of 867965280 is about 953.8954656061.

The spelling of 867965280 in words is "eight hundred sixty-seven million, nine hundred sixty-five thousand, two hundred eighty".