678404160 has 280 divisors, whose sum is σ = 2758683840. Its totient is φ = 155022336.

The previous prime is 678404147. The next prime is 678404179. The reversal of 678404160 is 61404876.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-3 number, since 3×678404160³ (a number of 27 digits) contains 333 as substring.

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

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, 179571 + ... + 183309.

Almost surely, 2^678404160 is an apocalyptic number.

678404160 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 678404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379341920).

678404160 is an abundant number, since it is smaller than the sum of its proper divisors (2080279680).

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

678404160 is a wasteful number, since it uses less digits than its factorization.

678404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 678404160 is about 26046.1928120023. The cubic root of 678404160 is about 878.6774900426.

The spelling of 678404160 in words is "six hundred seventy-eight million, four hundred four thousand, one hundred sixty".