677730240 has 280 divisors, whose sum is σ = 2631076272. Its totient is φ = 164229120.

The previous prime is 677730233. The next prime is 677730241. The reversal of 677730240 is 42037776.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 677730195 and 677730204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677730241) 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 39 ways as a sum of consecutive naturals, for example, 283932 + ... + 286308.

Almost surely, 2^677730240 is an apocalyptic number.

677730240 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 677730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315538136).

677730240 is an abundant number, since it is smaller than the sum of its proper divisors (1953346032).

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

677730240 is a wasteful number, since it uses less digits than its factorization.

677730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 677730240 is about 26033.2525820344. The cubic root of 677730240 is about 878.3864371282.

The spelling of 677730240 in words is "six hundred seventy-seven million, seven hundred thirty thousand, two hundred forty".