678520800 has 360 divisors, whose sum is σ = 2550289896. Its totient is φ = 175426560.

The previous prime is 678520793. The next prime is 678520807. The reversal of 678520800 is 8025876.

It is an interprime number because it is at equal distance from previous prime (678520793) and next prime (678520807).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678520807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2397459 + ... + 2397741.

Almost surely, 2^678520800 is an apocalyptic number.

678520800 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 678520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275144948).

678520800 is an abundant number, since it is smaller than the sum of its proper divisors (1871769096).

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

678520800 is a wasteful number, since it uses less digits than its factorization.

678520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 678520800 is about 26048.4318146026. The cubic root of 678520800 is about 878.7278450155.

The spelling of 678520800 in words is "six hundred seventy-eight million, five hundred twenty thousand, eight hundred".