870004800 has 630 divisors, whose sum is σ = 3747181482. Its totient is φ = 197406720.

The previous prime is 870004781. The next prime is 870004823. The reversal of 870004800 is 8400078.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 73410624 + 796594176 = 8568^2 + 28224^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6350332 + ... + 6350468.

Almost surely, 2^870004800 is an apocalyptic number.

870004800 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 870004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873590741).

870004800 is an abundant number, since it is smaller than the sum of its proper divisors (2877176682).

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

870004800 is a wasteful number, since it uses less digits than its factorization.

870004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 870004800 is about 29495.8437750135. The cubic root of 870004800 is about 954.6420265930.

Adding to 870004800 its reverse (8400078), we get a palindrome (878404878).

The spelling of 870004800 in words is "eight hundred seventy million, four thousand, eight hundred".