808066368 has 168 divisors, whose sum is σ = 2423086848. Its totient is φ = 266996736.

The previous prime is 808066349. The next prime is 808066381. The reversal of 808066368 is 863660808.

808066368 is a `hidden beast` number, since 8 + 0 + 8 + 0 + 6 + 636 + 8 = 666.

It is a super-2 number, since 2×808066368² = 1305942510185422848, which 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 23 ways as a sum of consecutive naturals, for example, 3467980 + ... + 3468212.

It is an arithmetic number, because the mean of its divisors is an integer number (14423136).

Almost surely, 2^808066368 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 808066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211543424).

808066368 is an abundant number, since it is smaller than the sum of its proper divisors (1615020480).

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

808066368 is a wasteful number, since it uses less digits than its factorization.

808066368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 808066368 is about 28426.5081921787. The cubic root of 808066368 is about 931.4274022163.

The spelling of 808066368 in words is "eight hundred eight million, sixty-six thousand, three hundred sixty-eight".