307668900 has 288 divisors, whose sum is σ = 1169925120. Its totient is φ = 60480000.

The previous prime is 307668883. The next prime is 307668971. The reversal of 307668900 is 9866703.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438550 + ... + 439250.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^307668900 is an apocalyptic number.

307668900 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 307668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

307668900 is an abundant number, since it is smaller than the sum of its proper divisors (862256220).

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

307668900 is a wasteful number, since it uses less digits than its factorization.

307668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 307668900 is about 17540.4931515622. The cubic root of 307668900 is about 675.0892611724.

The spelling of 307668900 in words is "three hundred seven million, six hundred sixty-eight thousand, nine hundred".