1793864880 has 160 divisors (see below), whose sum is σ = 6255760320. Its totient is φ = 478317312.

The previous prime is 1793864873. The next prime is 1793864893. The reversal of 1793864880 is 884683971.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169834 + ... + 180086.

It is an arithmetic number, because the mean of its divisors is an integer number (39098502).

Almost surely, 2^1793864880 is an apocalyptic number.

1793864880 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 1793864880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127880160).

1793864880 is an abundant number, since it is smaller than the sum of its proper divisors (4461895440).

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

1793864880 is an equidigital number, since it uses as much as digits as its factorization.

1793864880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1793864880 is about 42354.0420739273. The cubic root of 1793864880 is about 1215.0567874692.

The spelling of 1793864880 in words is "one billion, seven hundred ninety-three million, eight hundred sixty-four thousand, eight hundred eighty".