868640760 has 320 divisors, whose sum is σ = 3227273280. Its totient is φ = 208189440.

The previous prime is 868640743. The next prime is 868640761. The reversal of 868640760 is 67046868.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868640761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1726669 + ... + 1727171.

It is an arithmetic number, because the mean of its divisors is an integer number (10085229).

Almost surely, 2^868640760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868640760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613636640).

868640760 is an abundant number, since it is smaller than the sum of its proper divisors (2358632520).

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

868640760 is a wasteful number, since it uses less digits than its factorization.

868640760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 868640760 is about 29472.7121249470. The cubic root of 868640760 is about 954.1428527032.

The spelling of 868640760 in words is "eight hundred sixty-eight million, six hundred forty thousand, seven hundred sixty".