677679984 has 60 divisors (see below), whose sum is σ = 1913392416. Its totient is φ = 223888896.

The previous prime is 677679983. The next prime is 677679991. The reversal of 677679984 is 489976776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677679983) 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, 4552 + ... + 37095.

Almost surely, 2^677679984 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 677679984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956696208).

677679984 is an abundant number, since it is smaller than the sum of its proper divisors (1235712432).

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

677679984 is a wasteful number, since it uses less digits than its factorization.

677679984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41774 (or 41765 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The square root of 677679984 is about 26032.2873370743. The cubic root of 677679984 is about 878.3647248119.

The spelling of 677679984 in words is "six hundred seventy-seven million, six hundred seventy-nine thousand, nine hundred eighty-four".