678206760 has 256 divisors, whose sum is σ = 2625177600. Its totient is φ = 136012800.

The previous prime is 678206759. The next prime is 678206761. The reversal of 678206760 is 67602876.

It is an interprime number because it is at equal distance from previous prime (678206759) and next prime (678206761).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (678206761) 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 63 ways as a sum of consecutive naturals, for example, 266695 + ... + 269225.

It is an arithmetic number, because the mean of its divisors is an integer number (10254600).

Almost surely, 2^678206760 is an apocalyptic number.

678206760 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 678206760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312588800).

678206760 is an abundant number, since it is smaller than the sum of its proper divisors (1946970840).

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

678206760 is a wasteful number, since it uses less digits than its factorization.

678206760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 678206760 is about 26042.4031149201. The cubic root of 678206760 is about 878.5922567983.

The spelling of 678206760 in words is "six hundred seventy-eight million, two hundred six thousand, seven hundred sixty".