677942000 has 80 divisors (see below), whose sum is σ = 1645207200. Its totient is φ = 270195200.

The previous prime is 677941991. The next prime is 677942033. The reversal of 677942000 is 249776.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837596 + ... + 838404.

It is an arithmetic number, because the mean of its divisors is an integer number (20565090).

Almost surely, 2^677942000 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 677942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822603600).

677942000 is an abundant number, since it is smaller than the sum of its proper divisors (967265200).

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

677942000 is a wasteful number, since it uses less digits than its factorization.

677942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 677942000 is about 26037.3193704728. The cubic root of 677942000 is about 878.4779129256.

The spelling of 677942000 in words is "six hundred seventy-seven million, nine hundred forty-two thousand".