678581400 has 144 divisors (see below), whose sum is σ = 2447153640. Its totient is φ = 155097600.

The previous prime is 678581389. The next prime is 678581429. The reversal of 678581400 is 4185876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17860 + ... + 40940.

Almost surely, 2^678581400 is an apocalyptic number.

678581400 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 678581400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223576820).

678581400 is an abundant number, since it is smaller than the sum of its proper divisors (1768572240).

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

678581400 is a wasteful number, since it uses less digits than its factorization.

678581400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23114 (or 23098 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 678581400 is about 26049.5950064488. The cubic root of 678581400 is about 878.7540045291.

The spelling of 678581400 in words is "six hundred seventy-eight million, five hundred eighty-one thousand, four hundred".