677352676 has 135 divisors (see below), whose sum is σ = 1641946047. Its totient is φ = 243603360.

The previous prime is 677352631. The next prime is 677352701. The reversal of 677352676 is 676253776.

It is a happy number.

The square root of 677352676 is 26026.

It is a perfect power (a square), and thus also a powerful number.

677352676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 335842276 + 341510400 = 18326^2 + 18480^2 .

It is a super-3 number, since 3×677352676³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52104046 + ... + 52104058.

Almost surely, 2^677352676 is an apocalyptic number.

677352676 is the 26026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677352676

677352676 is an abundant number, since it is smaller than the sum of its proper divisors (964593371).

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

677352676 is a wasteful number, since it uses less digits than its factorization.

677352676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 33 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 49.

The cubic root of 677352676 is about 878.2232902579.

Multiplying 677352676 by its sum of digits (49), we get a square (33190281124 = 182182²).

677352676 divided by its sum of digits (49) gives a square (13823524 = 3718²).

It can be divided in two parts, 677 and 352676, that added together give a palindrome (353353).

The spelling of 677352676 in words is "six hundred seventy-seven million, three hundred fifty-two thousand, six hundred seventy-six".