678069000 has 384 divisors, whose sum is σ = 2686694400. Its totient is φ = 151027200.

The previous prime is 678068999. The next prime is 678069001. The reversal of 678069000 is 960876.

It is an interprime number because it is at equal distance from previous prime (678068999) and next prime (678069001).

It is a super-2 number, since 2×678069000² = 919555137522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (678069001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2960886 + ... + 2961114.

It is an arithmetic number, because the mean of its divisors is an integer number (6996600).

Almost surely, 2^678069000 is an apocalyptic number.

678069000 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 678069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343347200).

678069000 is an abundant number, since it is smaller than the sum of its proper divisors (2008625400).

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

678069000 is a wasteful number, since it uses less digits than its factorization.

678069000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 678069000 is about 26039.7580633922. The cubic root of 678069000 is about 878.5327650757.

The spelling of 678069000 in words is "six hundred seventy-eight million, sixty-nine thousand".