677440 has 56 divisors (see below), whose sum is σ = 1691640. Its totient is φ = 258048.

The previous prime is 677423. The next prime is 677441. The reversal of 677440 is 44776.

677440 = 58² + 59² + ... + 130².

It can be written as a sum of positive squares in 4 ways, for example, as 87616 + 589824 = 296^2 + 768^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 677399 and 677408.

It is not an unprimeable number, because it can be changed into a prime (677441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9244 + ... + 9316.

2⁶⁷⁷⁴⁴⁰ 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 677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845820).

677440 is an abundant number, since it is smaller than the sum of its proper divisors (1014200).

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

677440 is a wasteful number, since it uses less digits than its factorization.

677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 677440 is about 823.0674334464. The cubic root of 677440 is about 87.8261028686.

The spelling of 677440 in words is "six hundred seventy-seven thousand, four hundred forty".