1793382240 has 384 divisors, whose sum is σ = 6416105472. Its totient is φ = 418037760.

The previous prime is 1793382223. The next prime is 1793382263. The reversal of 1793382240 is 422833971.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14121057 + ... + 14121183.

It is an arithmetic number, because the mean of its divisors is an integer number (16708608).

Almost surely, 2^1793382240 is an apocalyptic number.

1793382240 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 1793382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208052736).

1793382240 is an abundant number, since it is smaller than the sum of its proper divisors (4622723232).

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

1793382240 is a wasteful number, since it uses less digits than its factorization.

1793382240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1793382240 is about 42348.3440054036. The cubic root of 1793382240 is about 1214.9478072044.

The spelling of 1793382240 in words is "one billion, seven hundred ninety-three million, three hundred eighty-two thousand, two hundred forty".