869140800 has 672 divisors, whose sum is σ = 3628339200. Its totient is φ = 200448000.

The previous prime is 869140787. The next prime is 869140801. The reversal of 869140800 is 8041968.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869140801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14731171 + ... + 14731229.

Almost surely, 2^869140800 is an apocalyptic number.

869140800 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 869140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814169600).

869140800 is an abundant number, since it is smaller than the sum of its proper divisors (2759198400).

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

869140800 is a wasteful number, since it uses less digits than its factorization.

869140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 869140800 is about 29481.1940056708. The cubic root of 869140800 is about 954.3259042372.

The spelling of 869140800 in words is "eight hundred sixty-nine million, one hundred forty thousand, eight hundred".