1678080 has 144 divisors (see below), whose sum is σ = 5886720. Its totient is φ = 405504.

The previous prime is 1678073. The next prime is 1678091. The reversal of 1678080 is 808761.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72949 + ... + 72971.

It is an arithmetic number, because the mean of its divisors is an integer number (40880).

2^1678080 is an apocalyptic number.

1678080 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 1678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943360).

1678080 is an abundant number, since it is smaller than the sum of its proper divisors (4208640).

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

1678080 is a wasteful number, since it uses less digits than its factorization.

1678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

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

The square root of 1678080 is about 1295.4072718647. The cubic root of 1678080 is about 118.8331347677.

The spelling of 1678080 in words is "one million, six hundred seventy-eight thousand, eighty".