806125827978240 has 4752 divisors, whose sum is σ = 3485299523803776. Its totient is φ = 158389862400000.

The previous prime is 806125827978157. The next prime is 806125827978299. The reversal of 806125827978240 is 42879728521608.

806125827978240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5338581642165 + ... + 5338581642315.

Almost surely, 2^{806125827978240} is an apocalyptic number.

806125827978240 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 806125827978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742649761901888).

806125827978240 is an abundant number, since it is smaller than the sum of its proper divisors (2679173695825536).

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

806125827978240 is a wasteful number, since it uses less digits than its factorization.

806125827978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 69.

The spelling of 806125827978240 in words is "eight hundred six trillion, one hundred twenty-five billion, eight hundred twenty-seven million, nine hundred seventy-eight thousand, two hundred forty".