870336000 has 240 divisors, whose sum is σ = 3136861728. Its totient is φ = 231936000.

The previous prime is 870335993. The next prime is 870336007. The reversal of 870336000 is 633078.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (870335993) and next prime (870336007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870336007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575245 + ... + 576755.

Almost surely, 2^870336000 is an apocalyptic number.

870336000 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 870336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568430864).

870336000 is an abundant number, since it is smaller than the sum of its proper divisors (2266525728).

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

870336000 is a wasteful number, since it uses less digits than its factorization.

870336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 870336000 is about 29501.4575911090. The cubic root of 870336000 is about 954.7631513371.

Adding to 870336000 its reverse (633078), we get a palindrome (870969078).

The spelling of 870336000 in words is "eight hundred seventy million, three hundred thirty-six thousand".