1678080000 has 480 divisors, whose sum is σ = 6140534400. Its totient is φ = 405504000.

The previous prime is 1678079989. The next prime is 1678080067. The reversal of 1678080000 is 808761.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1678080000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72959989 + ... + 72960011.

It is an arithmetic number, because the mean of its divisors is an integer number (12792780).

Almost surely, 2^1678080000 is an apocalyptic number.

1678080000 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 1678080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070267200).

1678080000 is an abundant number, since it is smaller than the sum of its proper divisors (4462454400).

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

1678080000 is an equidigital number, since it uses as much as digits as its factorization.

1678080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1678080000 is about 40964.3747663747. The cubic root of 1678080000 is about 1188.3313476770.

Adding to 1678080000 its reverse (808761), we get a palindrome (1678888761).

The spelling of 1678080000 in words is "one billion, six hundred seventy-eight million, eighty thousand".