678746250 has 480 divisors, whose sum is σ = 2469709440. Its totient is φ = 134784000.

The previous prime is 678746231. The next prime is 678746251. The reversal of 678746250 is 52647876.

678746250 is a `hidden beast` number, since 67 + 87 + 462 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 678746196 and 678746205.

It is not an unprimeable number, because it can be changed into a prime (678746251) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 39926242 + ... + 39926258.

It is an arithmetic number, because the mean of its divisors is an integer number (5145228).

Almost surely, 2^678746250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678746250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234854720).

678746250 is an abundant number, since it is smaller than the sum of its proper divisors (1790963190).

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

678746250 is a wasteful number, since it uses less digits than its factorization.

678746250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 678746250 is about 26052.7589709804. The cubic root of 678746250 is about 878.8251582961.

The spelling of 678746250 in words is "six hundred seventy-eight million, seven hundred forty-six thousand, two hundred fifty".