307024080 has 160 divisors (see below), whose sum is σ = 1099536768. Its totient is φ = 70041600.

The previous prime is 307024049. The next prime is 307024087. The reversal of 307024080 is 80420703.

307024080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 307024080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307024087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41460 + ... + 48300.

Almost surely, 2^307024080 is an apocalyptic number.

307024080 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 307024080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549768384).

307024080 is an abundant number, since it is smaller than the sum of its proper divisors (792512688).

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

307024080 is a wasteful number, since it uses less digits than its factorization.

307024080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 307024080 is about 17522.1026135564. The cubic root of 307024080 is about 674.6173084511.

Adding to 307024080 its reverse (80420703), we get a palindrome (387444783).

The spelling of 307024080 in words is "three hundred seven million, twenty-four thousand, eighty".