1678682880 has 504 divisors, whose sum is σ = 6916748832. Its totient is φ = 382205952.

The previous prime is 1678682869. The next prime is 1678682909. The reversal of 1678682880 is 882868761.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531712 + ... + 6531968.

It is an arithmetic number, because the mean of its divisors is an integer number (13723708).

Almost surely, 2^1678682880 is an apocalyptic number.

1678682880 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 1678682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458374416).

1678682880 is an abundant number, since it is smaller than the sum of its proper divisors (5238065952).

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

1678682880 is an frugal number, since it uses more digits than its factorization.

1678682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 1678682880 is about 40971.7326946274. The cubic root of 1678682880 is about 1188.4736403417.

The spelling of 1678682880 in words is "one billion, six hundred seventy-eight million, six hundred eighty-two thousand, eight hundred eighty".