677900964 has 48 divisors (see below), whose sum is σ = 1707975360. Its totient is φ = 208030080.

The previous prime is 677900957. The next prime is 677900969. The reversal of 677900964 is 469009776.

677900964 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 (677900969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55099 + ... + 66269.

It is an arithmetic number, because the mean of its divisors is an integer number (35582820).

Almost surely, 2^677900964 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 677900964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853987680).

677900964 is an abundant number, since it is smaller than the sum of its proper divisors (1030074396).

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

677900964 is a wasteful number, since it uses less digits than its factorization.

677900964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11580 (or 11578 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 677900964 is about 26036.5313357982. The cubic root of 677900964 is about 878.4601877382.

The spelling of 677900964 in words is "six hundred seventy-seven million, nine hundred thousand, nine hundred sixty-four".