678222400 has 84 divisors (see below), whose sum is σ = 1696453300. Its totient is φ = 266803200.

The previous prime is 678222383. The next prime is 678222409. The reversal of 678222400 is 4222876.

It can be written as a sum of positive squares in 6 ways, for example, as 35904064 + 642318336 = 5992^2 + 25344^2 .

It is not an unprimeable number, because it can be changed into a prime (678222409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94126 + ... + 101074.

Almost surely, 2^678222400 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 678222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848226650).

678222400 is an abundant number, since it is smaller than the sum of its proper divisors (1018230900).

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

678222400 is a wasteful number, since it uses less digits than its factorization.

678222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 7017 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 678222400 is about 26042.7033926972. The cubic root of 678222400 is about 878.5990104306.

The spelling of 678222400 in words is "six hundred seventy-eight million, two hundred twenty-two thousand, four hundred".