802400 has 72 divisors (see below), whose sum is σ = 2109240. Its totient is φ = 296960.

The previous prime is 802387. The next prime is 802421. The reversal of 802400 is 4208.

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 11 ways as a sum of consecutive naturals, for example, 13571 + ... + 13629.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2⁸⁰²⁴⁰⁰ is an apocalyptic number.

802400 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 802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054620).

802400 is an abundant number, since it is smaller than the sum of its proper divisors (1306840).

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

802400 is a wasteful number, since it uses less digits than its factorization.

802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 802400 is about 895.7678270623. The cubic root of 802400 is about 92.9245157716.

Adding to 802400 its reverse (4208), we get a palindrome (806608).

The spelling of 802400 in words is "eight hundred two thousand, four hundred".