677863512 has 64 divisors (see below), whose sum is σ = 1887804000. Its totient is φ = 225372672.

The previous prime is 677863507. The next prime is 677863517. The reversal of 677863512 is 215368776.

677863512 is a `hidden beast` number, since 6 + 7 + 7 + 8 + 635 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (677863507) and next prime (677863517).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677863517) 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, 84508 + ... + 92180.

Almost surely, 2^677863512 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 677863512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943902000).

677863512 is an abundant number, since it is smaller than the sum of its proper divisors (1209940488).

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

677863512 is a wasteful number, since it uses less digits than its factorization.

677863512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8097 (or 8087 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 677863512 is about 26035.8121056363. The cubic root of 677863512 is about 878.4440100079. Note that the first 3 decimals are identical.

The spelling of 677863512 in words is "six hundred seventy-seven million, eight hundred sixty-three thousand, five hundred twelve".