1792000960 has 112 divisors (see below), whose sum is σ = 4588093440. Its totient is φ = 664519680.

The previous prime is 1792000949. The next prime is 1792000993. The reversal of 1792000960 is 690002971.

It is a super-2 number, since 2×1792000960² = 6422534881281843200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282625 + ... + 288895.

It is an arithmetic number, because the mean of its divisors is an integer number (40965120).

Almost surely, 2^1792000960 is an apocalyptic number.

1792000960 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 1792000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294046720).

1792000960 is an abundant number, since it is smaller than the sum of its proper divisors (2796092480).

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

1792000960 is a wasteful number, since it uses less digits than its factorization.

1792000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 1792000960 is about 42332.0323159661. The cubic root of 1792000960 is about 1214.6358056494.

The spelling of 1792000960 in words is "one billion, seven hundred ninety-two million, nine hundred sixty", and thus it is an aban number.