1126400080 has 40 divisors (see below), whose sum is σ = 2820335112. Its totient is φ = 415901184.

The previous prime is 1126400039. The next prime is 1126400083. The reversal of 1126400080 is 800046211.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 1124395024 = 1416^2 + 33532^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126400083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 540499 + ... + 542578.

Almost surely, 2^1126400080 is an apocalyptic number.

1126400080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1126400080 is an abundant number, since it is smaller than the sum of its proper divisors (1693935032).

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

1126400080 is a wasteful number, since it uses less digits than its factorization.

1126400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083103 (or 1083097 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1126400080 is about 33561.8843332731. The cubic root of 1126400080 is about 1040.4731821135.

Adding to 1126400080 its reverse (800046211), we get a palindrome (1926446291).

The spelling of 1126400080 in words is "one billion, one hundred twenty-six million, four hundred thousand, eighty".