1795996800 has 720 divisors, whose sum is σ = 7351697430. Its totient is φ = 431308800.

The previous prime is 1795996799. The next prime is 1795996859. The reversal of 1795996800 is 86995971.

It can be written as a sum of positive squares in 9 ways, for example, as 301091904 + 1494904896 = 17352^2 + 38664^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1795996800² = 6451209011220480000, which contains 22 as substring.

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 89 ways as a sum of consecutive naturals, for example, 43804780 + ... + 43804820.

Almost surely, 2^1795996800 is an apocalyptic number.

1795996800 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 1795996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675848715).

1795996800 is an abundant number, since it is smaller than the sum of its proper divisors (5555700630).

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

1795996800 is a wasteful number, since it uses less digits than its factorization.

1795996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 1795996800 is about 42379.2024464831. The cubic root of 1795996800 is about 1215.5379419462.

The spelling of 1795996800 in words is "one billion, seven hundred ninety-five million, nine hundred ninety-six thousand, eight hundred".