677120 has 54 divisors (see below), whose sum is σ = 1695498. Its totient is φ = 259072.

The previous prime is 677119. The next prime is 677147. The reversal of 677120 is 21776.

Added to its reverse (21776) it gives a square (698896 = 836²).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 541696 + 135424 = 736^2 + 368^2 .

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29429 + ... + 29451.

2⁶⁷⁷¹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847749).

677120 is an abundant number, since it is smaller than the sum of its proper divisors (1018378).

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

677120 is an equidigital number, since it uses as much as digits as its factorization.

677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 677120 is about 822.8730157199. The cubic root of 677120 is about 87.8122719860.

Adding to 677120 its reverse (21776), we get a palindrome (698896).

It can be divided in two parts, 677 and 120, that added together give a palindrome (797).

The spelling of 677120 in words is "six hundred seventy-seven thousand, one hundred twenty".