306345780 has 288 divisors, whose sum is σ = 1097537280. Its totient is φ = 70502400.

The previous prime is 306345773. The next prime is 306345833. The reversal of 306345780 is 87543603.

It is a happy number.

306345780 is a `hidden beast` number, since 306 + 345 + 7 + 8 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2028705 + ... + 2028855.

Almost surely, 2^306345780 is an apocalyptic number.

306345780 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 306345780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548768640).

306345780 is an abundant number, since it is smaller than the sum of its proper divisors (791191500).

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

306345780 is a wasteful number, since it uses less digits than its factorization.

306345780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 306345780 is about 17502.7363574956. The cubic root of 306345780 is about 674.1201375483.

The spelling of 306345780 in words is "three hundred six million, three hundred forty-five thousand, seven hundred eighty".