876201300 has 360 divisors, whose sum is σ = 3136346136. Its totient is φ = 210263040.

The previous prime is 876201289. The next prime is 876201317. The reversal of 876201300 is 3102678.

876201300 is a `hidden beast` number, since 8 + 7 + 620 + 1 + 30 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 382828356 + 493372944 = 19566^2 + 22212^2 .

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 119 ways as a sum of consecutive naturals, for example, 5580822 + ... + 5580978.

Almost surely, 2^876201300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568173068).

876201300 is an abundant number, since it is smaller than the sum of its proper divisors (2260144836).

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

876201300 is a wasteful number, since it uses less digits than its factorization.

876201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 876201300 is about 29600.6976269141. The cubic root of 876201300 is about 956.9031063151.

Adding to 876201300 its reverse (3102678), we get a palindrome (879303978).

The spelling of 876201300 in words is "eight hundred seventy-six million, two hundred one thousand, three hundred".