678798000 has 240 divisors, whose sum is σ = 2428716576. Its totient is φ = 176601600.

The previous prime is 678797993. The next prime is 678798013. The reversal of 678798000 is 897876.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 773562 + ... + 774438.

Almost surely, 2^678798000 is an apocalyptic number.

678798000 is a gapful number since it is divisible by the number (60) 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 678798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214358288).

678798000 is an abundant number, since it is smaller than the sum of its proper divisors (1749918576).

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

678798000 is a wasteful number, since it uses less digits than its factorization.

678798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 678798000 is about 26053.7521290121. The cubic root of 678798000 is about 878.8474926350.

The spelling of 678798000 in words is "six hundred seventy-eight million, seven hundred ninety-eight thousand".