677280 has 96 divisors (see below), whose sum is σ = 2286144. Its totient is φ = 167936.

The previous prime is 677239. The next prime is 677309. The reversal of 677280 is 82776.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

677280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8119 + ... + 8201.

It is an arithmetic number, because the mean of its divisors is an integer number (23814).

2⁶⁷⁷²⁸⁰ is an apocalyptic number.

677280 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 677280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143072).

677280 is an abundant number, since it is smaller than the sum of its proper divisors (1608864).

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

677280 is a wasteful number, since it uses less digits than its factorization.

677280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

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

The square root of 677280 is about 822.9702303243. The cubic root of 677280 is about 87.8191879719.

The spelling of 677280 in words is "six hundred seventy-seven thousand, two hundred eighty".