677680 has 40 divisors (see below), whose sum is σ = 1620432. Its totient is φ = 263424.

The previous prime is 677657. The next prime is 677681. The reversal of 677680 is 86776.

677680 = T₃₁ + T₃₂ + ... + T₁₅₉.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (677681) by changing a digit.

677680 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 7 ways as a sum of consecutive naturals, for example, 3342 + ... + 3538.

2⁶⁷⁷⁶⁸⁰ 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 677680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810216).

677680 is an abundant number, since it is smaller than the sum of its proper divisors (942752).

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

677680 is a wasteful number, since it uses less digits than its factorization.

677680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 677680 is about 823.2132166092. The cubic root of 677680 is about 87.8364731725.

The spelling of 677680 in words is "six hundred seventy-seven thousand, six hundred eighty".