1679780880 has 480 divisors, whose sum is σ = 6518154240. Its totient is φ = 384860160.

The previous prime is 1679780831. The next prime is 1679780923. The reversal of 1679780880 is 880879761.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7209244 + ... + 7209476.

It is an arithmetic number, because the mean of its divisors is an integer number (13579488).

Almost surely, 2^1679780880 is an apocalyptic number.

1679780880 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 1679780880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259077120).

1679780880 is an abundant number, since it is smaller than the sum of its proper divisors (4838373360).

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

1679780880 is a wasteful number, since it uses less digits than its factorization.

1679780880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 1679780880 is about 40985.1299863743. The cubic root of 1679780880 is about 1188.7327044888.

The spelling of 1679780880 in words is "one billion, six hundred seventy-nine million, seven hundred eighty thousand, eight hundred eighty".