802400040 has 256 divisors, whose sum is σ = 2926828800. Its totient is φ = 194337792.

The previous prime is 802399993. The next prime is 802400047. The reversal of 802400040 is 40004208.

802400040 = T₄₀₀ + T₄₀₁ + ... + T₁₆₉₅.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 802399986 and 802400022.

It is not an unprimeable number, because it can be changed into a prime (802400047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 940254 + ... + 941106.

It is an arithmetic number, because the mean of its divisors is an integer number (11432925).

Almost surely, 2^802400040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463414400).

802400040 is an abundant number, since it is smaller than the sum of its proper divisors (2124428760).

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

802400040 is a wasteful number, since it uses less digits than its factorization.

802400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 802400040 is about 28326.6665882168. Note that the first 3 decimals coincide. The cubic root of 802400040 is about 929.2451731567.

Adding to 802400040 its reverse (40004208), we get a palindrome (842404248).

The spelling of 802400040 in words is "eight hundred two million, four hundred thousand, forty".