678488832 has 288 divisors, whose sum is σ = 2361228800. Its totient is φ = 188116992.

The previous prime is 678488807. The next prime is 678488927. The reversal of 678488832 is 238884876.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4128768) is a multiple of the sum of its prime factors (448).

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, 1790019 + ... + 1790397.

Almost surely, 2^678488832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678488832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180614400).

678488832 is an abundant number, since it is smaller than the sum of its proper divisors (1682739968).

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

678488832 is a wasteful number, since it uses less digits than its factorization.

678488832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 428 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 678488832 is about 26047.8181811836. The cubic root of 678488832 is about 878.7140445971.

The spelling of 678488832 in words is "six hundred seventy-eight million, four hundred eighty-eight thousand, eight hundred thirty-two".