1260792000 has 448 divisors, whose sum is σ = 4992624000. Its totient is φ = 309657600.

The previous prime is 1260791977. The next prime is 1260792011. The reversal of 1260792000 is 2970621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2807776 + ... + 2808224.

It is an arithmetic number, because the mean of its divisors is an integer number (11144250).

Almost surely, 2^1260792000 is an apocalyptic number.

1260792000 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 1260792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496312000).

1260792000 is an abundant number, since it is smaller than the sum of its proper divisors (3731832000).

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

1260792000 is a wasteful number, since it uses less digits than its factorization.

1260792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 472 counting only the distinct ones).

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

The square root of 1260792000 is about 35507.6329822195. The cubic root of 1260792000 is about 1080.3085538137.

The spelling of 1260792000 in words is "one billion, two hundred sixty million, seven hundred ninety-two thousand".