868759400 has 48 divisors (see below), whose sum is σ = 2033491500. Its totient is φ = 345159680.

The previous prime is 868759399. The next prime is 868759433. The reversal of 868759400 is 4957868.

868759400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7806436 + 860952964 = 2794^2 + 29342^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15224 + ... + 44376.

Almost surely, 2^868759400 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 868759400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016745750).

868759400 is an abundant number, since it is smaller than the sum of its proper divisors (1164732100).

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

868759400 is a wasteful number, since it uses less digits than its factorization.

868759400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29318 (or 29309 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 868759400 is about 29474.7247654664. The cubic root of 868759400 is about 954.1862900519.

The spelling of 868759400 in words is "eight hundred sixty-eight million, seven hundred fifty-nine thousand, four hundred".