806028005376 has 416 divisors, whose sum is σ = 2638314547200. Its totient is φ = 241130373120.

The previous prime is 806028005359. The next prime is 806028005389. The reversal of 806028005376 is 673500820608.

806028005376 is a `hidden beast` number, since 8 + 0 + 602 + 8 + 0 + 0 + 5 + 37 + 6 = 666.

It is a super-2 number, since 2×806028005376² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96100255 + ... + 96108641.

Almost surely, 2^806028005376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806028005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319157273600).

806028005376 is an abundant number, since it is smaller than the sum of its proper divisors (1832286541824).

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

806028005376 is a wasteful number, since it uses less digits than its factorization.

806028005376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8510 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 806028005376 in words is "eight hundred six billion, twenty-eight million, five thousand, three hundred seventy-six".