1793142000 has 480 divisors, whose sum is σ = 6900391680. Its totient is φ = 431308800.

The previous prime is 1793141957. The next prime is 1793142023. The reversal of 1793142000 is 2413971.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18485952 + ... + 18486048.

It is an arithmetic number, because the mean of its divisors is an integer number (14375816).

Almost surely, 2^1793142000 is an apocalyptic number.

1793142000 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 1793142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450195840).

1793142000 is an abundant number, since it is smaller than the sum of its proper divisors (5107249680).

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

1793142000 is a wasteful number, since it uses less digits than its factorization.

1793142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1793142000 is about 42345.5074358544. The cubic root of 1793142000 is about 1214.8935536476.

Adding to 1793142000 its reverse (2413971), we get a palindrome (1795555971).

The spelling of 1793142000 in words is "one billion, seven hundred ninety-three million, one hundred forty-two thousand".