306828720 has 240 divisors, whose sum is σ = 1183852800. Its totient is φ = 70433280.

The previous prime is 306828667. The next prime is 306828749. The reversal of 306828720 is 27828603.

306828720 = 3081² + 3082² + ... + 3112².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149461 + ... + 151499.

It is an arithmetic number, because the mean of its divisors is an integer number (4932720).

Almost surely, 2^306828720 is an apocalyptic number.

306828720 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 306828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591926400).

306828720 is an abundant number, since it is smaller than the sum of its proper divisors (877024080).

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

306828720 is a wasteful number, since it uses less digits than its factorization.

306828720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 306828720 is about 17516.5270530434. The cubic root of 306828720 is about 674.4741913372.

The spelling of 306828720 in words is "three hundred six million, eight hundred twenty-eight thousand, seven hundred twenty".