678254400 has 504 divisors, whose sum is σ = 2645034080. Its totient is φ = 164229120.

The previous prime is 678254393. The next prime is 678254441. The reversal of 678254400 is 4452876.

It is a super-2 number, since 2×678254400² = 920058062238720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10123167 + ... + 10123233.

Almost surely, 2^678254400 is an apocalyptic number.

678254400 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 678254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322517040).

678254400 is an abundant number, since it is smaller than the sum of its proper divisors (1966779680).

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

678254400 is a wasteful number, since it uses less digits than its factorization.

678254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 678254400 is about 26043.3177609920. The cubic root of 678254400 is about 878.6128282806.

The spelling of 678254400 in words is "six hundred seventy-eight million, two hundred fifty-four thousand, four hundred".