1799616000 has 640 divisors, whose sum is σ = 7435524096. Its totient is φ = 376012800.

The previous prime is 1799615977. The next prime is 1799616001. The reversal of 1799616000 is 6169971.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1799616000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1799616001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17471949 + ... + 17472051.

Almost surely, 2^1799616000 is an apocalyptic number.

1799616000 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 1799616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717762048).

1799616000 is an abundant number, since it is smaller than the sum of its proper divisors (5635908096).

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

1799616000 is a wasteful number, since it uses less digits than its factorization.

1799616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 1799616000 is about 42421.8811464084. The cubic root of 1799616000 is about 1216.3538905343.

The spelling of 1799616000 in words is "one billion, seven hundred ninety-nine million, six hundred sixteen thousand".