677760 has 64 divisors (see below), whose sum is σ = 2166480. Its totient is φ = 180224.

The previous prime is 677737. The next prime is 677767. The reversal of 677760 is 67776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677767) 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, 1744 + ... + 2096.

2⁶⁷⁷⁷⁶⁰ is an apocalyptic number.

677760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083240).

677760 is an abundant number, since it is smaller than the sum of its proper divisors (1488720).

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

677760 is a wasteful number, since it uses less digits than its factorization.

677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 677760 is about 823.2618052600. The cubic root of 677760 is about 87.8399293963.

The spelling of 677760 in words is "six hundred seventy-seven thousand, seven hundred sixty".