1792800 has 144 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 472320.

The previous prime is 1792793. The next prime is 1792849. The reversal of 1792800 is 82971.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21559 + ... + 21641.

It is an arithmetic number, because the mean of its divisors is an integer number (45570).

2^1792800 is an apocalyptic number.

1792800 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 1792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

1792800 is an abundant number, since it is smaller than the sum of its proper divisors (4769280).

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

1792800 is a wasteful number, since it uses less digits than its factorization.

1792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1792800 is about 1338.9548162653. The cubic root of 1792800 is about 121.4816311203.

The spelling of 1792800 in words is "one million, seven hundred ninety-two thousand, eight hundred".