677820 has 96 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 149760.

The previous prime is 677813. The next prime is 677827. The reversal of 677820 is 28776.

It is an interprime number because it is at equal distance from previous prime (677813) and next prime (677827).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677827) by changing a digit.

677820 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 31 ways as a sum of consecutive naturals, for example, 8541 + ... + 8619.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2⁶⁷⁷⁸²⁰ is an apocalyptic number.

677820 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 677820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

677820 is an abundant number, since it is smaller than the sum of its proper divisors (1580100).

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

677820 is a wasteful number, since it uses less digits than its factorization.

677820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 677820 is about 823.2982448663. The cubic root of 677820 is about 87.8425213857.

It can be divided in two parts, 67 and 7820, that added together give a palindrome (7887).

The spelling of 677820 in words is "six hundred seventy-seven thousand, eight hundred twenty".