677790000 has 300 divisors, whose sum is σ = 2515426056. Its totient is φ = 169728000.

The previous prime is 677789989. The next prime is 677790007. The reversal of 677790000 is 97776.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (677790007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1529779 + ... + 1530221.

Almost surely, 2^677790000 is an apocalyptic number.

677790000 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 677790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257713028).

677790000 is an abundant number, since it is smaller than the sum of its proper divisors (1837636056).

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

677790000 is a wasteful number, since it uses less digits than its factorization.

677790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 677790000 is about 26034.4003195772. The cubic root of 677790000 is about 878.4122541016.

The spelling of 677790000 in words is "six hundred seventy-seven million, seven hundred ninety thousand".