1233792000 has 880 divisors, whose sum is σ = 5564040768. Its totient is φ = 265420800.

The previous prime is 1233791963. The next prime is 1233792019. The reversal of 1233792000 is 2973321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72575992 + ... + 72576008.

Almost surely, 2^1233792000 is an apocalyptic number.

1233792000 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 1233792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782020384).

1233792000 is an abundant number, since it is smaller than the sum of its proper divisors (4330248768).

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

1233792000 is an equidigital number, since it uses as much as digits as its factorization.

1233792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1233792000 is about 35125.3754428333. The cubic root of 1233792000 is about 1072.5411984761.

The spelling of 1233792000 in words is "one billion, two hundred thirty-three million, seven hundred ninety-two thousand".