1079253120 has 256 divisors, whose sum is σ = 3790385280. Its totient is φ = 259031040.

The previous prime is 1079253107. The next prime is 1079253121. The reversal of 1079253120 is 213529701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1079253121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2893254 + ... + 2893626.

Almost surely, 2^1079253120 is an apocalyptic number.

1079253120 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 1079253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895192640).

1079253120 is an abundant number, since it is smaller than the sum of its proper divisors (2711132160).

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

1079253120 is a wasteful number, since it uses less digits than its factorization.

1079253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 1079253120 is about 32851.9880676954. The cubic root of 1079253120 is about 1025.7490047923.

The spelling of 1079253120 in words is "one billion, seventy-nine million, two hundred fifty-three thousand, one hundred twenty".