1426793760 has 432 divisors, whose sum is σ = 5762176056. Its totient is φ = 320495616.

The previous prime is 1426793749. The next prime is 1426793773. The reversal of 1426793760 is 673976241.

1426793760 is a `hidden beast` number, since 14 + 267 + 9 + 376 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 960752016 + 466041744 = 30996^2 + 21588^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5150742 + ... + 5151018.

Almost surely, 2^1426793760 is an apocalyptic number.

1426793760 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 1426793760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881088028).

1426793760 is an abundant number, since it is smaller than the sum of its proper divisors (4335382296).

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

1426793760 is a wasteful number, since it uses less digits than its factorization.

1426793760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 1426793760 is about 37772.9236358532. The cubic root of 1426793760 is about 1125.7805309309.

The spelling of 1426793760 in words is "one billion, four hundred twenty-six million, seven hundred ninety-three thousand, seven hundred sixty".