677082528 has 144 divisors (see below), whose sum is σ = 2089059336. Its totient is φ = 207175680.

The previous prime is 677082521. The next prime is 677082557. The reversal of 677082528 is 825280776.

It can be written as a sum of positive squares in 4 ways, for example, as 653927184 + 23155344 = 25572^2 + 4812^2 .

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (677082521) 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, 199050 + ... + 202422.

Almost surely, 2^677082528 is an apocalyptic number.

677082528 is a gapful number since it is divisible by the number (68) 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 677082528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044529668).

677082528 is an abundant number, since it is smaller than the sum of its proper divisors (1411976808).

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

677082528 is a wasteful number, since it uses less digits than its factorization.

677082528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 677082528 is about 26020.8095185373. The cubic root of 677082528 is about 878.1065210466.

It can be divided in two parts, 6770 and 82528, that added together give a palindrome (89298).

The spelling of 677082528 in words is "six hundred seventy-seven million, eighty-two thousand, five hundred twenty-eight".