872414400 has 672 divisors, whose sum is σ = 3555772416. Its totient is φ = 184320000.

The previous prime is 872414399. The next prime is 872414419. The reversal of 872414400 is 4414278.

It is a super-2 number, since 2×872414400² = 1522213770654720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21278380 + ... + 21278420.

It is an arithmetic number, because the mean of its divisors is an integer number (5291328).

Almost surely, 2^872414400 is an apocalyptic number.

872414400 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 872414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777886208).

872414400 is an abundant number, since it is smaller than the sum of its proper divisors (2683358016).

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

872414400 is a wasteful number, since it uses less digits than its factorization.

872414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 872414400 is about 29536.6619644130. The cubic root of 872414400 is about 955.5225523926.

Adding to 872414400 its reverse (4414278), we get a palindrome (876828678).

The spelling of 872414400 in words is "eight hundred seventy-two million, four hundred fourteen thousand, four hundred".