677940 has 24 divisors (see below), whose sum is σ = 1898400. Its totient is φ = 180768.

The previous prime is 677927. The next prime is 677947. The reversal of 677940 is 49776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677947) 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, 5590 + ... + 5709.

It is an arithmetic number, because the mean of its divisors is an integer number (79100).

2⁶⁷⁷⁹⁴⁰ is an apocalyptic number.

677940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677940 is an abundant number, since it is smaller than the sum of its proper divisors (1220460).

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

677940 is a wasteful number, since it uses less digits than its factorization.

677940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11311 (or 11309 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 677940 is about 823.3711192409. The cubic root of 677940 is about 87.8477049057.

The spelling of 677940 in words is "six hundred seventy-seven thousand, nine hundred forty".