677720736 has 384 divisors, whose sum is σ = 2519838720. Its totient is φ = 172108800.

The previous prime is 677720731. The next prime is 677720789. The reversal of 677720736 is 637027776.

It is a junction number, because it is equal to n+sod(n) for n = 677720691 and 677720700.

It is not an unprimeable number, because it can be changed into a prime (677720731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4058125 + ... + 4058291.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2^677720736 is an apocalyptic number.

677720736 is a gapful number since it is divisible by the number (66) 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 677720736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259919360).

677720736 is an abundant number, since it is smaller than the sum of its proper divisors (1842117984).

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

677720736 is a wasteful number, since it uses less digits than its factorization.

677720736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 45.

The square root of 677720736 is about 26033.0700456170. The cubic root of 677720736 is about 878.3823311564.

The spelling of 677720736 in words is "six hundred seventy-seven million, seven hundred twenty thousand, seven hundred thirty-six".