677732832 has 144 divisors (see below), whose sum is σ = 2284394112. Its totient is φ = 193622400.

The previous prime is 677732827. The next prime is 677732849. The reversal of 677732832 is 238237776.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 48207 + ... + 60657.

It is an arithmetic number, because the mean of its divisors is an integer number (15863848).

Almost surely, 2^677732832 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 677732832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142197056).

677732832 is an abundant number, since it is smaller than the sum of its proper divisors (1606661280).

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

677732832 is a wasteful number, since it uses less digits than its factorization.

677732832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12483 (or 12463 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 677732832 is about 26033.3023644716. The cubic root of 677732832 is about 878.3875569320.

The spelling of 677732832 in words is "six hundred seventy-seven million, seven hundred thirty-two thousand, eight hundred thirty-two".