678720 has 112 divisors (see below), whose sum is σ = 2487168. Its totient is φ = 153600.

The previous prime is 678719. The next prime is 678721. The reversal of 678720 is 27876.

It is an interprime number because it is at equal distance from previous prime (678719) and next prime (678721).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6670 + ... + 6770.

2⁶⁷⁸⁷²⁰ is an apocalyptic number.

678720 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 678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243584).

678720 is an abundant number, since it is smaller than the sum of its proper divisors (1808448).

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

678720 is a wasteful number, since it uses less digits than its factorization.

678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 678720 is about 823.8446455491. The cubic root of 678720 is about 87.8813828850.

The spelling of 678720 in words is "six hundred seventy-eight thousand, seven hundred twenty".