207680000 has 200 divisors, whose sum is σ = 575253360. Its totient is φ = 74240000.

The previous prime is 207679999. The next prime is 207680009. The reversal of 207680000 is 86702.

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (207680009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3519971 + ... + 3520029.

Almost surely, 2^207680000 is an apocalyptic number.

207680000 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 207680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287626680).

207680000 is an abundant number, since it is smaller than the sum of its proper divisors (367573360).

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

207680000 is an frugal number, since it uses more digits than its factorization.

207680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 207680000 is about 14411.1068277215. The cubic root of 207680000 is about 592.1952119792.

The spelling of 207680000 in words is "two hundred seven million, six hundred eighty thousand".