677961306 has 192 divisors, whose sum is σ = 1797734400. Its totient is φ = 188606880.

The previous prime is 677961299. The next prime is 677961307. The reversal of 677961306 is 603169776.

677961306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (677961307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5338215 + ... + 5338341.

It is an arithmetic number, because the mean of its divisors is an integer number (9363200).

Almost surely, 2^677961306 is an apocalyptic number.

677961306 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 677961306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898867200).

677961306 is an abundant number, since it is smaller than the sum of its proper divisors (1119773094).

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

677961306 is a wasteful number, since it uses less digits than its factorization.

677961306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 677961306 is about 26037.6901049229. The cubic root of 677961306 is about 878.4862517577.

The spelling of 677961306 in words is "six hundred seventy-seven million, nine hundred sixty-one thousand, three hundred six".