1305828378 has 80 divisors (see below), whose sum is σ = 3121657704. Its totient is φ = 406563840.

The previous prime is 1305828373. The next prime is 1305828389. The reversal of 1305828378 is 8738285031.

1305828378 is a `hidden beast` number, since 1 + 30 + 582 + 8 + 37 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1140885729 + 164942649 = 33777^2 + 12843^2 .

It is a super-2 number, since 2×1305828378² = 3410375505580221768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1305828373) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375568 + ... + 379028.

Almost surely, 2^1305828378 is an apocalyptic number.

1305828378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305828378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560828852).

1305828378 is an abundant number, since it is smaller than the sum of its proper divisors (1815829326).

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

1305828378 is a wasteful number, since it uses less digits than its factorization.

1305828378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1305828378 is about 36136.2474255421. The cubic root of 1305828378 is about 1093.0214901296.

The spelling of 1305828378 in words is "one billion, three hundred five million, eight hundred twenty-eight thousand, three hundred seventy-eight".