868697760 has 192 divisors, whose sum is σ = 3143750400. Its totient is φ = 197517312.

The previous prime is 868697747. The next prime is 868697771. The reversal of 868697760 is 67796868.

It is a self number, because there is not a number n which added to its sum of digits gives 868697760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768876 + ... + 770004.

It is an arithmetic number, because the mean of its divisors is an integer number (16373700).

Almost surely, 2^868697760 is an apocalyptic number.

868697760 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 868697760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571875200).

868697760 is an abundant number, since it is smaller than the sum of its proper divisors (2275052640).

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

868697760 is a wasteful number, since it uses less digits than its factorization.

868697760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The square root of 868697760 is about 29473.6791052627. The cubic root of 868697760 is about 954.1637224557.

The spelling of 868697760 in words is "eight hundred sixty-eight million, six hundred ninety-seven thousand, seven hundred sixty".