868322400 has 288 divisors, whose sum is σ = 3185796096. Its totient is φ = 203520000.

The previous prime is 868322333. The next prime is 868322407. The reversal of 868322400 is 4223868.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (868322407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817870 + ... + 818930.

It is an arithmetic number, because the mean of its divisors is an integer number (11061792).

Almost surely, 2^868322400 is an apocalyptic number.

868322400 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 868322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592898048).

868322400 is an abundant number, since it is smaller than the sum of its proper divisors (2317473696).

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

868322400 is a wasteful number, since it uses less digits than its factorization.

868322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 868322400 is about 29467.3107018608. The cubic root of 868322400 is about 954.0262728504.

The spelling of 868322400 in words is "eight hundred sixty-eight million, three hundred twenty-two thousand, four hundred".