1792320768 has 216 divisors, whose sum is σ = 6217848000. Its totient is φ = 485056512.

The previous prime is 1792320709. The next prime is 1792320791. The reversal of 1792320768 is 8670232971.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303508 + ... + 309356.

Almost surely, 2^1792320768 is an apocalyptic number.

1792320768 is a gapful number since it is divisible by the number (18) 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 1792320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108924000).

1792320768 is an abundant number, since it is smaller than the sum of its proper divisors (4425527232).

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

1792320768 is a wasteful number, since it uses less digits than its factorization.

1792320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1792320768 is about 42335.8095233810. The cubic root of 1792320768 is about 1214.7080576833.

The spelling of 1792320768 in words is "one billion, seven hundred ninety-two million, three hundred twenty thousand, seven hundred sixty-eight".