840672000 has 576 divisors, whose sum is σ = 3571276800. Its totient is φ = 190771200.

The previous prime is 840671999. The next prime is 840672013. The reversal of 840672000 is 276048.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×840672000³ (a number of 28 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047931 + ... + 6048069.

Almost surely, 2^840672000 is an apocalyptic number.

840672000 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 840672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785638400).

840672000 is an abundant number, since it is smaller than the sum of its proper divisors (2730604800).

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

840672000 is a wasteful number, since it uses less digits than its factorization.

840672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

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

The square root of 840672000 is about 28994.3442760825. The cubic root of 840672000 is about 943.7903393426.

The spelling of 840672000 in words is "eight hundred forty million, six hundred seventy-two thousand".