872102400 has 240 divisors, whose sum is σ = 3104322144. Its totient is φ = 214548480.

The previous prime is 872102369. The next prime is 872102401. The reversal of 872102400 is 4201278.

872102400 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872102401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498327 + ... + 500073.

Almost surely, 2^872102400 is an apocalyptic number.

872102400 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 872102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552161072).

872102400 is an abundant number, since it is smaller than the sum of its proper divisors (2232219744).

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

872102400 is a wasteful number, since it uses less digits than its factorization.

872102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 872102400 is about 29531.3799203491. The cubic root of 872102400 is about 955.4086315378.

Adding to 872102400 its reverse (4201278), we get a palindrome (876303678).

The spelling of 872102400 in words is "eight hundred seventy-two million, one hundred two thousand, four hundred".