677889000 has 160 divisors (see below), whose sum is σ = 2369881800. Its totient is φ = 180748800.

The previous prime is 677888999. The next prime is 677889001. The reversal of 677889000 is 988776.

677889000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (677888999) and next prime (677889001).

It can be written as a sum of positive squares in 4 ways, for example, as 273637764 + 404251236 = 16542^2 + 20106^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (677889001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76816 + ... + 85184.

Almost surely, 2^677889000 is an apocalyptic number.

677889000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677889000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184940900).

677889000 is an abundant number, since it is smaller than the sum of its proper divisors (1691992800).

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

677889000 is a wasteful number, since it uses less digits than its factorization.

677889000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 677889000 is about 26036.3015806777. The cubic root of 677889000 is about 878.4550198449.

The spelling of 677889000 in words is "six hundred seventy-seven million, eight hundred eighty-nine thousand".