677601000 has 96 divisors (see below), whose sum is σ = 2290321800. Its totient is φ = 180691200.

The previous prime is 677600983. The next prime is 677601019. The reversal of 677601000 is 106776.

677601000 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 4 ways, for example, as 133125444 + 544475556 = 11538^2 + 23334^2 .

It is a super-3 number, since 3×677601000³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28645 + ... + 46644.

Almost surely, 2^677601000 is an apocalyptic number.

677601000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

677601000 is an abundant number, since it is smaller than the sum of its proper divisors (1612720800).

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

677601000 is a wasteful number, since it uses less digits than its factorization.

677601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75316 (or 75299 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 677601000 is about 26030.7702536825. The cubic root of 677601000 is about 878.3305988446.

Adding to 677601000 its reverse (106776), we get a palindrome (677707776).

It can be divided in two parts, 67 and 7601000, that added together give a palindrome (7601067).

The spelling of 677601000 in words is "six hundred seventy-seven million, six hundred one thousand".