678787200 has 864 divisors, whose sum is σ = 3116245860. Its totient is φ = 139345920.

The previous prime is 678787189. The next prime is 678787259. The reversal of 678787200 is 2787876.

It can be written as a sum of positive squares in 6 ways, for example, as 265559616 + 413227584 = 16296^2 + 20328^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18345582 + ... + 18345618.

Almost surely, 2^678787200 is an apocalyptic number.

678787200 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 678787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558122930).

678787200 is an abundant number, since it is smaller than the sum of its proper divisors (2437458660).

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

678787200 is a wasteful number, since it uses less digits than its factorization.

678787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 678787200 is about 26053.5448643750. The cubic root of 678787200 is about 878.8428316493.

It can be divided in two parts, 67878 and 7200, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 678787200 in words is "six hundred seventy-eight million, seven hundred eighty-seven thousand, two hundred".