678390720 has 224 divisors, whose sum is σ = 2481120768. Its totient is φ = 153833472.

The previous prime is 678390719. The next prime is 678390721. The reversal of 678390720 is 27093876.

678390720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (678390719) and next prime (678390721).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678390721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054719 + ... + 1055361.

It is an arithmetic number, because the mean of its divisors is an integer number (11076432).

Almost surely, 2^678390720 is an apocalyptic number.

678390720 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 678390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240560384).

678390720 is an abundant number, since it is smaller than the sum of its proper divisors (1802730048).

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

678390720 is a wasteful number, since it uses less digits than its factorization.

678390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 678390720 is about 26045.9348075664. The cubic root of 678390720 is about 878.6716874527.

The spelling of 678390720 in words is "six hundred seventy-eight million, three hundred ninety thousand, seven hundred twenty".