869875200 has 300 divisors, whose sum is σ = 3223309320. Its totient is φ = 231690240.

The previous prime is 869875183. The next prime is 869875219. The reversal of 869875200 is 2578968.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036381 + ... + 1037219.

Almost surely, 2^869875200 is an apocalyptic number.

869875200 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 869875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611654660).

869875200 is an abundant number, since it is smaller than the sum of its proper divisors (2353434120).

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

869875200 is an equidigital number, since it uses as much as digits as its factorization.

869875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 869875200 is about 29493.6467735002. The cubic root of 869875200 is about 954.5946215862.

The spelling of 869875200 in words is "eight hundred sixty-nine million, eight hundred seventy-five thousand, two hundred".