1079712000 has 432 divisors, whose sum is σ = 4078908288. Its totient is φ = 273715200.

The previous prime is 1079711959. The next prime is 1079712001. The reversal of 1079712000 is 2179701.

It is not an unprimeable number, because it can be changed into a prime (1079712001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6623919 + ... + 6624081.

Almost surely, 2^1079712000 is an apocalyptic number.

1079712000 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 1079712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039454144).

1079712000 is an abundant number, since it is smaller than the sum of its proper divisors (2999196288).

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

1079712000 is a wasteful number, since it uses less digits than its factorization.

1079712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1079712000 is about 32858.9713776923. The cubic root of 1079712000 is about 1025.8943611811.

The spelling of 1079712000 in words is "one billion, seventy-nine million, seven hundred twelve thousand".