1799709840 has 400 divisors, whose sum is σ = 6614063280. Its totient is φ = 452874240.

The previous prime is 1799709839. The next prime is 1799709871. The reversal of 1799709840 is 489079971.

It can be written as a sum of positive squares in 8 ways, for example, as 365421456 + 1434288384 = 19116^2 + 37872^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11463042 + ... + 11463198.

Almost surely, 2^1799709840 is an apocalyptic number.

1799709840 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 1799709840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307031640).

1799709840 is an abundant number, since it is smaller than the sum of its proper divisors (4814353440).

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

1799709840 is a wasteful number, since it uses less digits than its factorization.

1799709840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 1799709840 is about 42422.9871649793. The cubic root of 1799709840 is about 1216.3750322047.

The spelling of 1799709840 in words is "one billion, seven hundred ninety-nine million, seven hundred nine thousand, eight hundred forty".