677790 has 48 divisors (see below), whose sum is σ = 1870128. Its totient is φ = 169728.

The previous prime is 677783. The next prime is 677791. The reversal of 677790 is 97776.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677791) by changing a digit.

677790 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 23 ways as a sum of consecutive naturals, for example, 1309 + ... + 1751.

It is an arithmetic number, because the mean of its divisors is an integer number (38961).

2⁶⁷⁷⁷⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935064).

677790 is an abundant number, since it is smaller than the sum of its proper divisors (1192338).

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

677790 is a wasteful number, since it uses less digits than its factorization.

677790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 677790 is about 823.2800252648. The cubic root of 677790 is about 87.8412254102.

The spelling of 677790 in words is "six hundred seventy-seven thousand, seven hundred ninety".