873242400 has 216 divisors, whose sum is σ = 3021837840. Its totient is φ = 218992640.

The previous prime is 873242399. The next prime is 873242411. The reversal of 873242400 is 4242378.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 692971 + ... + 694229.

It is an arithmetic number, because the mean of its divisors is an integer number (13989990).

Almost surely, 2^873242400 is an apocalyptic number.

873242400 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 873242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510918920).

873242400 is an abundant number, since it is smaller than the sum of its proper divisors (2148595440).

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

873242400 is a wasteful number, since it uses less digits than its factorization.

873242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 873242400 is about 29550.6751191914. The cubic root of 873242400 is about 955.8247491877.

Adding to 873242400 its reverse (4242378), we get a palindrome (877484778).

The spelling of 873242400 in words is "eight hundred seventy-three million, two hundred forty-two thousand, four hundred".