840008000 has 224 divisors, whose sum is σ = 2306592288. Its totient is φ = 301056000.

The previous prime is 840007979. The next prime is 840008033. The reversal of 840008000 is 800048.

It can be written as a sum of positive squares in 16 ways, for example, as 702462016 + 137545984 = 26504^2 + 11728^2 .

It is a super-2 number, since 2×840008000² = 1411226880128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4263902 + ... + 4264098.

It is an arithmetic number, because the mean of its divisors is an integer number (10297287).

Almost surely, 2^840008000 is an apocalyptic number.

840008000 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 840008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153296144).

840008000 is an abundant number, since it is smaller than the sum of its proper divisors (1466584288).

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

840008000 is a wasteful number, since it uses less digits than its factorization.

840008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 840008000 is about 28982.8915051621. The cubic root of 840008000 is about 943.5417914151.

Adding to 840008000 its reverse (800048), we get a palindrome (840808048).

The spelling of 840008000 in words is "eight hundred forty million, eight thousand".