677427732 has 96 divisors (see below), whose sum is σ = 1803594240. Its totient is φ = 219784320.

The previous prime is 677427731. The next prime is 677427739. The reversal of 677427732 is 237724776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677427731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1608882 + ... + 1609302.

It is an arithmetic number, because the mean of its divisors is an integer number (18787440).

Almost surely, 2^677427732 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 677427732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901797120).

677427732 is an abundant number, since it is smaller than the sum of its proper divisors (1126166508).

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

677427732 is a wasteful number, since it uses less digits than its factorization.

677427732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its digits is 691488, while the sum is 45.

The square root of 677427732 is about 26027.4419027303. The cubic root of 677427732 is about 878.2557270741.

The spelling of 677427732 in words is "six hundred seventy-seven million, four hundred twenty-seven thousand, seven hundred thirty-two".