306827808 has 144 divisors (see below), whose sum is σ = 986519520. Its totient is φ = 83026944.

The previous prime is 306827779. The next prime is 306827813. The reversal of 306827808 is 808728603.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 306827808.

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, 87660 + ... + 91092.

It is an arithmetic number, because the mean of its divisors is an integer number (6850830).

Almost surely, 2^306827808 is an apocalyptic number.

306827808 is a gapful number since it is divisible by the number (38) 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 306827808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493259760).

306827808 is an abundant number, since it is smaller than the sum of its proper divisors (679691712).

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

306827808 is a wasteful number, since it uses less digits than its factorization.

306827808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 306827808 is about 17516.5010204664. The cubic root of 306827808 is about 674.4735230804.

It can be divided in two parts, 3068 and 27808, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 306827808 in words is "three hundred six million, eight hundred twenty-seven thousand, eight hundred eight".