806443399157760 has 7680 divisors, whose sum is σ = 3995777350656000. Its totient is φ = 152538225573888.

The previous prime is 806443399157749. The next prime is 806443399157771. The reversal of 806443399157760 is 67751993344608.

806443399157760 is a `hidden beast` number, since 8 + 0 + 6 + 4 + 43 + 3 + 9 + 9 + 1 + 577 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (806443399157749) and next prime (806443399157771).

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3374240163721 + ... + 3374240163959.

It is an arithmetic number, because the mean of its divisors is an integer number (520283509200).

Almost surely, 2^{806443399157760} is an apocalyptic number.

806443399157760 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 806443399157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997888675328000).

806443399157760 is an abundant number, since it is smaller than the sum of its proper divisors (3189333951498240).

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

806443399157760 is a wasteful number, since it uses less digits than its factorization.

806443399157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 806443399157760 in words is "eight hundred six trillion, four hundred forty-three billion, three hundred ninety-nine million, one hundred fifty-seven thousand, seven hundred sixty".