677380 has 24 divisors (see below), whose sum is σ = 1552320. Its totient is φ = 246240.

The previous prime is 677371. The next prime is 677387. The reversal of 677380 is 83776.

677380 = T₁₀₉ + T₁₁₀ + ... + T₁₇₄.

It is not an unprimeable number, because it can be changed into a prime (677387) 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, 1320 + ... + 1759.

It is an arithmetic number, because the mean of its divisors is an integer number (64680).

2⁶⁷⁷³⁸⁰ is an apocalyptic number.

It is an amenable number.

677380 is an abundant number, since it is smaller than the sum of its proper divisors (874940).

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

677380 is a wasteful number, since it uses less digits than its factorization.

677380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 677380 is about 823.0309836209. The cubic root of 677380 is about 87.8235099099.

It can be divided in two parts, 67 and 7380, that added together give a palindrome (7447).

The spelling of 677380 in words is "six hundred seventy-seven thousand, three hundred eighty".