1679340800 has 108 divisors (see below), whose sum is σ = 4176891516. Its totient is φ = 668467200.

The previous prime is 1679340781. The next prime is 1679340847. The reversal of 1679340800 is 80439761.

It can be written as a sum of positive squares in 6 ways, for example, as 87011584 + 1592329216 = 9328^2 + 39904^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1644290 + ... + 1645310.

Almost surely, 2^1679340800 is an apocalyptic number.

1679340800 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 1679340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088445758).

1679340800 is an abundant number, since it is smaller than the sum of its proper divisors (2497550716).

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

1679340800 is a wasteful number, since it uses less digits than its factorization.

1679340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 1679340800 is about 40979.7608582578. The cubic root of 1679340800 is about 1188.6288847612.

The spelling of 1679340800 in words is "one billion, six hundred seventy-nine million, three hundred forty thousand, eight hundred".