840127680 has 448 divisors, whose sum is σ = 3511296000. Its totient is φ = 185020416.

The previous prime is 840127657. The next prime is 840127697. The reversal of 840127680 is 86721048.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×840127680³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1753681 + ... + 1754159.

Almost surely, 2^840127680 is an apocalyptic number.

840127680 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 840127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755648000).

840127680 is an abundant number, since it is smaller than the sum of its proper divisors (2671168320).

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

840127680 is a wasteful number, since it uses less digits than its factorization.

840127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 840127680 is about 28984.9560979485. The cubic root of 840127680 is about 943.5865996070.

The spelling of 840127680 in words is "eight hundred forty million, one hundred twenty-seven thousand, six hundred eighty".