678119040 has 320 divisors, whose sum is σ = 2464450560. Its totient is φ = 177666048.

The previous prime is 678119033. The next prime is 678119077. The reversal of 678119040 is 40911876.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 678118986 and 678119004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5339457 + ... + 5339583.

It is an arithmetic number, because the mean of its divisors is an integer number (7701408).

Almost surely, 2^678119040 is an apocalyptic number.

678119040 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 678119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232225280).

678119040 is an abundant number, since it is smaller than the sum of its proper divisors (1786331520).

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

678119040 is a wasteful number, since it uses less digits than its factorization.

678119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 678119040 is about 26040.7188840861. The cubic root of 678119040 is about 878.5543758057.

The spelling of 678119040 in words is "six hundred seventy-eight million, one hundred nineteen thousand, forty".