873104400 has 240 divisors, whose sum is σ = 3551856000. Its totient is φ = 199549440.

The previous prime is 873104399. The next prime is 873104461. The reversal of 873104400 is 4401378.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×873104400² = 1524622586598720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69826 + ... + 81374.

It is an arithmetic number, because the mean of its divisors is an integer number (14799400).

Almost surely, 2^873104400 is an apocalyptic number.

873104400 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 873104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775928000).

873104400 is an abundant number, since it is smaller than the sum of its proper divisors (2678751600).

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

873104400 is a wasteful number, since it uses less digits than its factorization.

873104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11583 (or 11566 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 873104400 is about 29548.3400548999. The cubic root of 873104400 is about 955.7743963249.

Adding to 873104400 its reverse (4401378), we get a palindrome (877505778).

The spelling of 873104400 in words is "eight hundred seventy-three million, one hundred four thousand, four hundred".