1678000320 has 448 divisors, whose sum is σ = 6323990400. Its totient is φ = 418037760.

The previous prime is 1678000307. The next prime is 1678000321. The reversal of 1678000320 is 230008761.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1678000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9270630 + ... + 9270810.

It is an arithmetic number, because the mean of its divisors is an integer number (14116050).

Almost surely, 2^1678000320 is an apocalyptic number.

1678000320 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 1678000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161995200).

1678000320 is an abundant number, since it is smaller than the sum of its proper divisors (4645990080).

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

1678000320 is a wasteful number, since it uses less digits than its factorization.

1678000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1678000320 is about 40963.4022024538. The cubic root of 1678000320 is about 1188.3125389312.

The spelling of 1678000320 in words is "one billion, six hundred seventy-eight million, three hundred twenty", and thus it is an aban number.