872852400 has 360 divisors, whose sum is σ = 3645957120. Its totient is φ = 188904960.

The previous prime is 872852377. The next prime is 872852413. The reversal of 872852400 is 4258278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 477889 + ... + 479711.

Almost surely, 2^872852400 is an apocalyptic number.

872852400 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 872852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822978560).

872852400 is an abundant number, since it is smaller than the sum of its proper divisors (2773104720).

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

872852400 is a wasteful number, since it uses less digits than its factorization.

872852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 872852400 is about 29544.0755482381. The cubic root of 872852400 is about 955.6824339266.

The spelling of 872852400 in words is "eight hundred seventy-two million, eight hundred fifty-two thousand, four hundred".