1073759440 has 80 divisors (see below), whose sum is σ = 2846724048. Its totient is φ = 373137408.

The previous prime is 1073759429. The next prime is 1073759441. The reversal of 1073759440 is 449573701.

It can be written as a sum of positive squares in 8 ways, for example, as 32535616 + 1041223824 = 5704^2 + 32268^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1073759440² = 2305918669978227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1073759393 and 1073759402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073759441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12687 + ... + 48046.

Almost surely, 2^1073759440 is an apocalyptic number.

1073759440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1073759440 is an abundant number, since it is smaller than the sum of its proper divisors (1772964608).

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

1073759440 is a wasteful number, since it uses less digits than its factorization.

1073759440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60776 (or 60770 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 1073759440 is about 32768.2687977256. The cubic root of 1073759440 is about 1024.0055999450.

The spelling of 1073759440 in words is "one billion, seventy-three million, seven hundred fifty-nine thousand, four hundred forty".