1679769000 has 576 divisors, whose sum is σ = 7136897040. Its totient is φ = 353203200.

The previous prime is 1679768989. The next prime is 1679769029. The reversal of 1679769000 is 9679761.

1679769000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 111133764 + 1568635236 = 10542^2 + 39606^2 .

It is a super-2 number, since 2×1679769000² = 5643247786722000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5732854 + ... + 5733146.

Almost surely, 2^1679769000 is an apocalyptic number.

1679769000 is a gapful number since it is divisible by the number (10) 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 1679769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568448520).

1679769000 is an abundant number, since it is smaller than the sum of its proper divisors (5457128040).

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

1679769000 is a wasteful number, since it uses less digits than its factorization.

1679769000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 1679769000 is about 40984.9850555054. The cubic root of 1679769000 is about 1188.7299021039.

The spelling of 1679769000 in words is "one billion, six hundred seventy-nine million, seven hundred sixty-nine thousand".