1682775000 has 288 divisors, whose sum is σ = 5928839280. Its totient is φ = 447120000.

The previous prime is 1682774993. The next prime is 1682775001. The reversal of 1682775000 is 5772861.

1682775000 is a `hidden beast` number, since 1 + 6 + 82 + 77 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682775001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6074862 + ... + 6075138.

Almost surely, 2^1682775000 is an apocalyptic number.

1682775000 is a gapful number since it is divisible by the number (10) 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 1682775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964419640).

1682775000 is an abundant number, since it is smaller than the sum of its proper divisors (4246064280).

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

1682775000 is an frugal number, since it uses more digits than its factorization.

1682775000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1682775000 is about 41021.6406302820. The cubic root of 1682775000 is about 1189.4385695215.

The spelling of 1682775000 in words is "one billion, six hundred eighty-two million, seven hundred seventy-five thousand".