87404400 has 120 divisors (see below), whose sum is σ = 311133360. Its totient is φ = 23304960.

The previous prime is 87404377. The next prime is 87404417. The reversal of 87404400 is 440478.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6754 + ... + 14846.

It is an arithmetic number, because the mean of its divisors is an integer number (2592778).

Almost surely, 2^87404400 is an apocalyptic number.

87404400 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 87404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155566680).

87404400 is an abundant number, since it is smaller than the sum of its proper divisors (223728960).

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

87404400 is a wasteful number, since it uses less digits than its factorization.

87404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 87404400 is about 9349.0320354569. The cubic root of 87404400 is about 443.7902588615.

Adding to 87404400 its reverse (440478), we get a palindrome (87844878).

The spelling of 87404400 in words is "eighty-seven million, four hundred four thousand, four hundred".