1079006760 has 192 divisors, whose sum is σ = 3793870080. Its totient is φ = 264384000.

The previous prime is 1079006759. The next prime is 1079006771. The reversal of 1079006760 is 676009701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1436385 + ... + 1437135.

It is an arithmetic number, because the mean of its divisors is an integer number (19759740).

Almost surely, 2^1079006760 is an apocalyptic number.

1079006760 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 1079006760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896935040).

1079006760 is an abundant number, since it is smaller than the sum of its proper divisors (2714863320).

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

1079006760 is a wasteful number, since it uses less digits than its factorization.

1079006760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1081 counting only the distinct ones).

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

The square root of 1079006760 is about 32848.2383089261. The cubic root of 1079006760 is about 1025.6709499626.

The spelling of 1079006760 in words is "one billion, seventy-nine million, six thousand, seven hundred sixty".