306761680 has 40 divisors (see below), whose sum is σ = 724924584. Its totient is φ = 120691200.

The previous prime is 306761641. The next prime is 306761683. The reversal of 306761680 is 86167603.

It can be written as a sum of positive squares in 4 ways, for example, as 33454656 + 273307024 = 5784^2 + 16532^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×306761680³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306761683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26551 + ... + 36310.

Almost surely, 2^306761680 is an apocalyptic number.

It is an amenable number.

306761680 is an abundant number, since it is smaller than the sum of its proper divisors (418162904).

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

306761680 is a wasteful number, since it uses less digits than its factorization.

306761680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62935 (or 62929 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 306761680 is about 17514.6133271620. The cubic root of 306761680 is about 674.4250650761.

The spelling of 306761680 in words is "three hundred six million, seven hundred sixty-one thousand, six hundred eighty".