1079523840 has 320 divisors, whose sum is σ = 3694584960. Its totient is φ = 268369920.

The previous prime is 1079523839. The next prime is 1079523847. The reversal of 1079523840 is 483259701.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1079523840² = 2330743442256691200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1079523847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8240575 + ... + 8240705.

It is an arithmetic number, because the mean of its divisors is an integer number (11545578).

Almost surely, 2^1079523840 is an apocalyptic number.

1079523840 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 1079523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847292480).

1079523840 is an abundant number, since it is smaller than the sum of its proper divisors (2615061120).

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

1079523840 is a wasteful number, since it uses less digits than its factorization.

1079523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1079523840 is about 32856.1081079303. The cubic root of 1079523840 is about 1025.8347639622.

The spelling of 1079523840 in words is "one billion, seventy-nine million, five hundred twenty-three thousand, eight hundred forty".