678175440 has 160 divisors (see below), whose sum is σ = 2193609600. Its totient is φ = 173107200.

The previous prime is 678175429. The next prime is 678175471. The reversal of 678175440 is 44571876.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 678175392 and 678175401.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 967090 + ... + 967790.

It is an arithmetic number, because the mean of its divisors is an integer number (13710060).

Almost surely, 2^678175440 is an apocalyptic number.

678175440 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 678175440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800).

678175440 is an abundant number, since it is smaller than the sum of its proper divisors (1515434160).

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

678175440 is a wasteful number, since it uses less digits than its factorization.

678175440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 678175440 is about 26041.8017809828. The cubic root of 678175440 is about 878.5787319488.

The spelling of 678175440 in words is "six hundred seventy-eight million, one hundred seventy-five thousand, four hundred forty".