869380200 has 288 divisors, whose sum is σ = 3208154040. Its totient is φ = 209664000.

The previous prime is 869380199. The next prime is 869380201. The reversal of 869380200 is 2083968.

It is an interprime number because it is at equal distance from previous prime (869380199) and next prime (869380201).

It can be written as a sum of positive squares in 12 ways, for example, as 115218756 + 754161444 = 10734^2 + 27462^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (869380201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1239850 + ... + 1240550.

Almost surely, 2^869380200 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 869380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604077020).

869380200 is an abundant number, since it is smaller than the sum of its proper divisors (2338773840).

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

869380200 is a wasteful number, since it uses less digits than its factorization.

869380200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 869380200 is about 29485.2539415892. The cubic root of 869380200 is about 954.4135174479.

The spelling of 869380200 in words is "eight hundred sixty-nine million, three hundred eighty thousand, two hundred".