867357680 has 160 divisors (see below), whose sum is σ = 2519838720. Its totient is φ = 270766080.

The previous prime is 867357677. The next prime is 867357683. The reversal of 867357680 is 86753768.

It is an interprime number because it is at equal distance from previous prime (867357677) and next prime (867357683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867357683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293651 + ... + 296589.

It is an arithmetic number, because the mean of its divisors is an integer number (15748992).

Almost surely, 2^867357680 is an apocalyptic number.

867357680 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 867357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259919360).

867357680 is an abundant number, since it is smaller than the sum of its proper divisors (1652481040).

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

867357680 is a wasteful number, since it uses less digits than its factorization.

867357680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 50.

The square root of 867357680 is about 29450.9368272047. The cubic root of 867357680 is about 953.6728291355.

The spelling of 867357680 in words is "eight hundred sixty-seven million, three hundred fifty-seven thousand, six hundred eighty".