207385080 has 128 divisors (see below), whose sum is σ = 714700800. Its totient is φ = 47158272.

The previous prime is 207385049. The next prime is 207385099. The reversal of 207385080 is 80583702.

207385080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200244 + ... + 201276.

It is an arithmetic number, because the mean of its divisors is an integer number (5583600).

Almost surely, 2^207385080 is an apocalyptic number.

207385080 is a gapful number since it is divisible by the number (20) 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 207385080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357350400).

207385080 is an abundant number, since it is smaller than the sum of its proper divisors (507315720).

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

207385080 is a wasteful number, since it uses less digits than its factorization.

207385080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 207385080 is about 14400.8708070033. The cubic root of 207385080 is about 591.9147597627.

It can be divided in two parts, 2073 and 85080, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 207385080 in words is "two hundred seven million, three hundred eighty-five thousand, eighty".