683280000 has 480 divisors, whose sum is σ = 2682219540. Its totient is φ = 165888000.

The previous prime is 683279977. The next prime is 683280001. The reversal of 683280000 is 82386.

It can be written as a sum of positive squares in 10 ways, for example, as 126697536 + 556582464 = 11256^2 + 23592^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (683280001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9359964 + ... + 9360036.

Almost surely, 2^683280000 is an apocalyptic number.

683280000 is a gapful number since it is divisible by the number (60) 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 683280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341109770).

683280000 is an abundant number, since it is smaller than the sum of its proper divisors (1998939540).

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

683280000 is a wasteful number, since it uses less digits than its factorization.

683280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 683280000 is about 26139.6250929504. The cubic root of 683280000 is about 880.7775496855. Note that the first 3 decimals are identical.

The spelling of 683280000 in words is "six hundred eighty-three million, two hundred eighty thousand".