870356800 has 168 divisors, whose sum is σ = 2274515136. Its totient is φ = 327106560.

The previous prime is 870356789. The next prime is 870356801. The reversal of 870356800 is 8653078.

It is a self number, because there is not a number n which added to its sum of digits gives 870356800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870356801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2465424 + ... + 2465776.

Almost surely, 2^870356800 is an apocalyptic number.

870356800 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 870356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137257568).

870356800 is an abundant number, since it is smaller than the sum of its proper divisors (1404158336).

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

870356800 is a wasteful number, since it uses less digits than its factorization.

870356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 870356800 is about 29501.8101139574. The cubic root of 870356800 is about 954.7707571795.

The spelling of 870356800 in words is "eight hundred seventy million, three hundred fifty-six thousand, eight hundred".