872942400 has 504 divisors, whose sum is σ = 3518733120. Its totient is φ = 210355200.

The previous prime is 872942393. The next prime is 872942419. The reversal of 872942400 is 4249278.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5227117 + ... + 5227283.

Almost surely, 2^872942400 is an apocalyptic number.

872942400 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 872942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759366560).

872942400 is an abundant number, since it is smaller than the sum of its proper divisors (2645790720).

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

872942400 is a wasteful number, since it uses less digits than its factorization.

872942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 872942400 is about 29545.5986569912. The cubic root of 872942400 is about 955.7152796719.

The spelling of 872942400 in words is "eight hundred seventy-two million, nine hundred forty-two thousand, four hundred".