1079122840 has 64 divisors (see below), whose sum is σ = 2514758400. Its totient is φ = 416476032.

The previous prime is 1079122831. The next prime is 1079122843. The reversal of 1079122840 is 482219701.

1079122840 = 8205² + 8206² + ... + 8220².

It is a super-2 number, since 2×1079122840² = 2329012207619331200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1079122796 and 1079122805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079122843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 138981 + ... + 146539.

It is an arithmetic number, because the mean of its divisors is an integer number (39293100).

Almost surely, 2^1079122840 is an apocalyptic number.

1079122840 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 1079122840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257379200).

1079122840 is an abundant number, since it is smaller than the sum of its proper divisors (1435635560).

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

1079122840 is a wasteful number, since it uses less digits than its factorization.

1079122840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7696 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 1079122840 is about 32850.0051750376. The cubic root of 1079122840 is about 1025.7077293474.

The spelling of 1079122840 in words is "one billion, seventy-nine million, one hundred twenty-two thousand, eight hundred forty".