677731860 has 288 divisors, whose sum is σ = 2434828032. Its totient is φ = 156764160.

The previous prime is 677731793. The next prime is 677731861. The reversal of 677731860 is 68137776.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677731861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1073745 + ... + 1074375.

It is an arithmetic number, because the mean of its divisors is an integer number (8454264).

Almost surely, 2^677731860 is an apocalyptic number.

677731860 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 677731860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217414016).

677731860 is an abundant number, since it is smaller than the sum of its proper divisors (1757096172).

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

677731860 is a wasteful number, since it uses less digits than its factorization.

677731860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 677731860 is about 26033.2836960688. The cubic root of 677731860 is about 878.3871370059.

The spelling of 677731860 in words is "six hundred seventy-seven million, seven hundred thirty-one thousand, eight hundred sixty".