678480 has 80 divisors (see below), whose sum is σ = 2303424. Its totient is φ = 163840.

The previous prime is 678479. The next prime is 678481. The reversal of 678480 is 84876.

It is an interprime number because it is at equal distance from previous prime (678479) and next prime (678481).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×678480² = 920670220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678481) 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, 2512 + ... + 2768.

2⁶⁷⁸⁴⁸⁰ is an apocalyptic number.

678480 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 678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151712).

678480 is an abundant number, since it is smaller than the sum of its proper divisors (1624944).

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

678480 is a wasteful number, since it uses less digits than its factorization.

678480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 678480 is about 823.6989741404. The cubic root of 678480 is about 87.8710231792.

The spelling of 678480 in words is "six hundred seventy-eight thousand, four hundred eighty".