1076793120 has 288 divisors, whose sum is σ = 4004752752. Its totient is φ = 261881856.

The previous prime is 1076793119. The next prime is 1076793161. The reversal of 1076793120 is 213976701.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 295702416 + 781090704 = 17196^2 + 27948^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1815544 + ... + 1816136.

Almost surely, 2^1076793120 is an apocalyptic number.

1076793120 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 1076793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002376376).

1076793120 is an abundant number, since it is smaller than the sum of its proper divisors (2927959632).

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

1076793120 is a wasteful number, since it uses less digits than its factorization.

1076793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1076793120 is about 32814.5260517351. The cubic root of 1076793120 is about 1024.9690635121.

The spelling of 1076793120 in words is "one billion, seventy-six million, seven hundred ninety-three thousand, one hundred twenty".