678893400 has 288 divisors, whose sum is σ = 2413647600. Its totient is φ = 177292800.

The previous prime is 678893399. The next prime is 678893431. The reversal of 678893400 is 4398876.

It is a happy number.

678893400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2964486 + ... + 2964714.

Almost surely, 2^678893400 is an apocalyptic number.

678893400 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 678893400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206823800).

678893400 is an abundant number, since it is smaller than the sum of its proper divisors (1734754200).

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

678893400 is a wasteful number, since it uses less digits than its factorization.

678893400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 678893400 is about 26055.5828950342. The cubic root of 678893400 is about 878.8886625281. Note that the first 3 decimals are identical.

It can be divided in two parts, 67889 and 3400, that added together give a square (71289 = 267²).

The spelling of 678893400 in words is "six hundred seventy-eight million, eight hundred ninety-three thousand, four hundred".