306795840 has 336 divisors, whose sum is σ = 1106643456. Its totient is φ = 71884800.

The previous prime is 306795803. The next prime is 306795847. The reversal of 306795840 is 48597603.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 306795792 and 306795801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306795847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5029410 + ... + 5029470.

Almost surely, 2^306795840 is an apocalyptic number.

306795840 is a gapful number since it is divisible by the number (30) 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 306795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553321728).

306795840 is an abundant number, since it is smaller than the sum of its proper divisors (799847616).

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

306795840 is a wasteful number, since it uses less digits than its factorization.

306795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 306795840 is about 17515.5884856890. The cubic root of 306795840 is about 674.4500980867.

The spelling of 306795840 in words is "three hundred six million, seven hundred ninety-five thousand, eight hundred forty".