869322400 has 144 divisors (see below), whose sum is σ = 2233544544. Its totient is φ = 329978880.

The previous prime is 869322397. The next prime is 869322431. The reversal of 869322400 is 4223968.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1272459 + ... + 1273141.

It is an arithmetic number, because the mean of its divisors is an integer number (15510726).

Almost surely, 2^869322400 is an apocalyptic number.

869322400 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 869322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116772272).

869322400 is an abundant number, since it is smaller than the sum of its proper divisors (1364222144).

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

869322400 is a wasteful number, since it uses less digits than its factorization.

869322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 869322400 is about 29484.2737743360. The cubic root of 869322400 is about 954.3923658566.

The spelling of 869322400 in words is "eight hundred sixty-nine million, three hundred twenty-two thousand, four hundred".