677980 has 24 divisors (see below), whose sum is σ = 1441440. Its totient is φ = 267840.

The previous prime is 677959. The next prime is 677983. The reversal of 677980 is 89776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2025 + ... + 2335.

It is an arithmetic number, because the mean of its divisors is an integer number (60060).

2⁶⁷⁷⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

677980 is an abundant number, since it is smaller than the sum of its proper divisors (763460).

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

677980 is a wasteful number, since it uses less digits than its factorization.

677980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 677980 is about 823.3954092658. The cubic root of 677980 is about 87.8494326098.

It can be divided in two parts, 6779 and 80, that added together give a cube (6859 = 19³).

The spelling of 677980 in words is "six hundred seventy-seven thousand, nine hundred eighty".