872800110 has 192 divisors, whose sum is σ = 2897137152. Its totient is φ = 184104576.

The previous prime is 872800091. The next prime is 872800147. The reversal of 872800110 is 11008278.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219157 + ... + 223103.

It is an arithmetic number, because the mean of its divisors is an integer number (15089256).

Almost surely, 2^872800110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872800110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448568576).

872800110 is an abundant number, since it is smaller than the sum of its proper divisors (2024337042).

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

872800110 is a wasteful number, since it uses less digits than its factorization.

872800110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 872800110 is about 29543.1905859878. The cubic root of 872800110 is about 955.6633495115.

Adding to 872800110 its reverse (11008278), we get a palindrome (883808388).

The spelling of 872800110 in words is "eight hundred seventy-two million, eight hundred thousand, one hundred ten".