1679800320 has 288 divisors, whose sum is σ = 6354981360. Its totient is φ = 406978560.

The previous prime is 1679800307. The next prime is 1679800363. The reversal of 1679800320 is 230089761.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012932 + ... + 1014588.

Almost surely, 2^1679800320 is an apocalyptic number.

1679800320 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 1679800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177490680).

1679800320 is an abundant number, since it is smaller than the sum of its proper divisors (4675181040).

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

1679800320 is a wasteful number, since it uses less digits than its factorization.

1679800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1679800320 is about 40985.3671448726. The cubic root of 1679800320 is about 1188.7372901811.

The spelling of 1679800320 in words is "one billion, six hundred seventy-nine million, eight hundred thousand, three hundred twenty".