677470752 has 144 divisors (see below), whose sum is σ = 2222700480. Its totient is φ = 191725056.

The previous prime is 677470747. The next prime is 677470753. The reversal of 677470752 is 257074776.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 677470698 and 677470707.

It is not an unprimeable number, because it can be changed into a prime (677470753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218203 + ... + 221285.

It is an arithmetic number, because the mean of its divisors is an integer number (15435420).

Almost surely, 2^677470752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677470752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111350240).

677470752 is an abundant number, since it is smaller than the sum of its proper divisors (1545229728).

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

677470752 is a wasteful number, since it uses less digits than its factorization.

677470752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The square root of 677470752 is about 26028.2683250346. The cubic root of 677470752 is about 878.2743178697.

The spelling of 677470752 in words is "six hundred seventy-seven million, four hundred seventy thousand, seven hundred fifty-two".