1074407080 has 64 divisors (see below), whose sum is σ = 2505978000. Its totient is φ = 414081024.

The previous prime is 1074407077. The next prime is 1074407093. The reversal of 1074407080 is 807044701.

It can be written as a sum of positive squares in 8 ways, for example, as 347673316 + 726733764 = 18646^2 + 26958^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077142 + ... + 1078138.

Almost surely, 2^1074407080 is an apocalyptic number.

1074407080 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 1074407080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252989000).

1074407080 is an abundant number, since it is smaller than the sum of its proper divisors (1431570920).

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

1074407080 is a wasteful number, since it uses less digits than its factorization.

1074407080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 1074407080 is about 32778.1494291548. The cubic root of 1074407080 is about 1024.2114355268.

The spelling of 1074407080 in words is "one billion, seventy-four million, four hundred seven thousand, eighty".