677735500 has 96 divisors (see below), whose sum is σ = 1608542208. Its totient is φ = 247968000.

The previous prime is 677735479. The next prime is 677735501. The reversal of 677735500 is 5537776.

It is not an unprimeable number, because it can be changed into a prime (677735501) 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 31 ways as a sum of consecutive naturals, for example, 825090 + ... + 825910.

It is an arithmetic number, because the mean of its divisors is an integer number (16755648).

Almost surely, 2^677735500 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 677735500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804271104).

677735500 is an abundant number, since it is smaller than the sum of its proper divisors (930806708).

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

677735500 is a wasteful number, since it uses less digits than its factorization.

677735500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 40.

The square root of 677735500 is about 26033.3536064795. The cubic root of 677735500 is about 878.3887095666.

The spelling of 677735500 in words is "six hundred seventy-seven million, seven hundred thirty-five thousand, five hundred".