5306978304 has 208 divisors, whose sum is σ = 16072707840. Its totient is φ = 1729658880.

The previous prime is 5306978267. The next prime is 5306978353. The reversal of 5306978304 is 4038796035.

It is a self number, because there is not a number n which added to its sum of digits gives 5306978304.

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, 5197314 + ... + 5198334.

Almost surely, 2^5306978304 is an apocalyptic number.

5306978304 is a gapful number since it is divisible by the number (54) 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 5306978304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8036353920).

5306978304 is an abundant number, since it is smaller than the sum of its proper divisors (10765729536).

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

5306978304 is a wasteful number, since it uses less digits than its factorization.

5306978304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5306978304 is about 72849.0103158581. The cubic root of 5306978304 is about 1744.2782711147.

The spelling of 5306978304 in words is "five billion, three hundred six million, nine hundred seventy-eight thousand, three hundred four".