677820384 has 72 divisors (see below), whose sum is σ = 1938350232. Its totient is φ = 224674560.

The previous prime is 677820371. The next prime is 677820389. The reversal of 677820384 is 483028776.

It is a happy number.

677820384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677820389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45627 + ... + 58629.

It is an arithmetic number, because the mean of its divisors is an integer number (26921531).

Almost surely, 2^677820384 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 677820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969175116).

677820384 is an abundant number, since it is smaller than the sum of its proper divisors (1260529848).

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

677820384 is a wasteful number, since it uses less digits than its factorization.

677820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13200 (or 13189 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 677820384 is about 26034.9838486602. The cubic root of 677820384 is about 878.4253797399.

The spelling of 677820384 in words is "six hundred seventy-seven million, eight hundred twenty thousand, three hundred eighty-four".