1797909960 has 576 divisors, whose sum is σ = 7296912000. Its totient is φ = 353928960.

The previous prime is 1797909943. The next prime is 1797910001. The reversal of 1797909960 is 699097971.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 1797909960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94626831 + ... + 94626849.

It is an arithmetic number, because the mean of its divisors is an integer number (12668250).

Almost surely, 2^1797909960 is an apocalyptic number.

1797909960 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 1797909960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648456000).

1797909960 is an abundant number, since it is smaller than the sum of its proper divisors (5499002040).

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

1797909960 is a wasteful number, since it uses less digits than its factorization.

1797909960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 57.

The square root of 1797909960 is about 42401.7683593503. The cubic root of 1797909960 is about 1215.9694002717.

The spelling of 1797909960 in words is "one billion, seven hundred ninety-seven million, nine hundred nine thousand, nine hundred sixty".