870819360 has 96 divisors (see below), whose sum is σ = 2747691072. Its totient is φ = 231828480.

The previous prime is 870819311. The next prime is 870819361. The reversal of 870819360 is 63918078.

870819360 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 (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (870819361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388162 + ... + 390398.

It is an arithmetic number, because the mean of its divisors is an integer number (28621782).

Almost surely, 2^870819360 is an apocalyptic number.

870819360 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 870819360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373845536).

870819360 is an abundant number, since it is smaller than the sum of its proper divisors (1876871712).

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

870819360 is a wasteful number, since it uses less digits than its factorization.

870819360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 870819360 is about 29509.6485916047. The cubic root of 870819360 is about 954.9398681106.

The spelling of 870819360 in words is "eight hundred seventy million, eight hundred nineteen thousand, three hundred sixty".