677721408 has 224 divisors, whose sum is σ = 2239426560. Its totient is φ = 176117760.

The previous prime is 677721379. The next prime is 677721419. The reversal of 677721408 is 804127776.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 677721408.

It is a congruent number.

It is an unprimeable number.

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, 1380043 + ... + 1380533.

It is an arithmetic number, because the mean of its divisors is an integer number (9997440).

Almost surely, 2^677721408 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 677721408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119713280).

677721408 is an abundant number, since it is smaller than the sum of its proper divisors (1561705152).

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

677721408 is a wasteful number, since it uses less digits than its factorization.

677721408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 677721408 is about 26033.0829522744. The cubic root of 677721408 is about 878.3826214789.

The spelling of 677721408 in words is "six hundred seventy-seven million, seven hundred twenty-one thousand, four hundred eight".