677135772 has 72 divisors (see below), whose sum is σ = 1820250432. Its totient is φ = 211507200.

The previous prime is 677135731. The next prime is 677135773. The reversal of 677135772 is 277531776.

677135772 is a `hidden beast` number, since 6 + 7 + 71 + 3 + 577 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677135773) 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 23 ways as a sum of consecutive naturals, for example, 145197 + ... + 149787.

It is an arithmetic number, because the mean of its divisors is an integer number (25281256).

Almost surely, 2^677135772 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 677135772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910125216).

677135772 is an abundant number, since it is smaller than the sum of its proper divisors (1143114660).

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

677135772 is a wasteful number, since it uses less digits than its factorization.

677135772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4854 counting only the distinct ones).

The product of its digits is 432180, while the sum is 45.

The square root of 677135772 is about 26021.8326026435. The cubic root of 677135772 is about 878.1295377771.

The spelling of 677135772 in words is "six hundred seventy-seven million, one hundred thirty-five thousand, seven hundred seventy-two".