869886000 has 320 divisors, whose sum is σ = 3168547200. Its totient is φ = 228096000.

The previous prime is 869885983. The next prime is 869886049. The reversal of 869886000 is 688968.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4805910 + ... + 4806090.

It is an arithmetic number, because the mean of its divisors is an integer number (9901710).

Almost surely, 2^869886000 is an apocalyptic number.

869886000 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 869886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584273600).

869886000 is an abundant number, since it is smaller than the sum of its proper divisors (2298661200).

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

869886000 is a wasteful number, since it uses less digits than its factorization.

869886000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 869886000 is about 29493.8298632104. The cubic root of 869886000 is about 954.5985721833.

The spelling of 869886000 in words is "eight hundred sixty-nine million, eight hundred eighty-six thousand".