869904000 has 384 divisors, whose sum is σ = 3574471680. Its totient is φ = 198604800.

The previous prime is 869903987. The next prime is 869904017. The reversal of 869904000 is 409968.

869904000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007569 + ... + 1008431.

It is an arithmetic number, because the mean of its divisors is an integer number (9308520).

Almost surely, 2^869904000 is an apocalyptic number.

869904000 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 869904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787235840).

869904000 is an abundant number, since it is smaller than the sum of its proper divisors (2704567680).

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

869904000 is a wasteful number, since it uses less digits than its factorization.

869904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 869904000 is about 29494.1350102016. The cubic root of 869904000 is about 954.6051564390.

The spelling of 869904000 in words is "eight hundred sixty-nine million, nine hundred four thousand".