678844800 has 384 divisors, whose sum is σ = 2540983200. Its totient is φ = 179159040.

The previous prime is 678844763. The next prime is 678844819. The reversal of 678844800 is 8448876.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 6998352 + ... + 6998448.

Almost surely, 2^678844800 is an apocalyptic number.

678844800 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 678844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270491600).

678844800 is an abundant number, since it is smaller than the sum of its proper divisors (1862138400).

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

678844800 is an frugal number, since it uses more digits than its factorization.

678844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 678844800 is about 26054.6502567200. The cubic root of 678844800 is about 878.8676896683.

The spelling of 678844800 in words is "six hundred seventy-eight million, eight hundred forty-four thousand, eight hundred".