1791162720 has 288 divisors, whose sum is σ = 6617624832. Its totient is φ = 456648192.

The previous prime is 1791162707. The next prime is 1791162727. The reversal of 1791162720 is 272611971.

It is a happy number.

1791162720 is a `hidden beast` number, since 1 + 7 + 9 + 1 + 1 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1791162727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893239 + ... + 895241.

It is an arithmetic number, because the mean of its divisors is an integer number (22977864).

Almost surely, 2^1791162720 is an apocalyptic number.

1791162720 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 1791162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308812416).

1791162720 is an abundant number, since it is smaller than the sum of its proper divisors (4826462112).

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

1791162720 is a wasteful number, since it uses less digits than its factorization.

1791162720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1791162720 is about 42322.1303811611. The cubic root of 1791162720 is about 1214.4463870172.

The spelling of 1791162720 in words is "one billion, seven hundred ninety-one million, one hundred sixty-two thousand, seven hundred twenty".