806421795840 has 880 divisors, whose sum is σ = 2972053776384. Its totient is φ = 209018880000.

The previous prime is 806421795811. The next prime is 806421795863. The reversal of 806421795840 is 48597124608.

It is a happy number.

806421795840 is a `hidden beast` number, since 8 + 0 + 6 + 42 + 17 + 9 + 584 + 0 = 666.

It is a super-2 number, since 2×806421795840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3212835715 + ... + 3212835965.

Almost surely, 2^806421795840 is an apocalyptic number.

806421795840 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 806421795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486026888192).

806421795840 is an abundant number, since it is smaller than the sum of its proper divisors (2165631980544).

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

806421795840 is a wasteful number, since it uses less digits than its factorization.

806421795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 806421795840 in words is "eight hundred six billion, four hundred twenty-one million, seven hundred ninety-five thousand, eight hundred forty".