5830768400 has 30 divisors (see below), whose sum is σ = 14008422042. Its totient is φ = 2332307200.

The previous prime is 5830768399. The next prime is 5830768421. The reversal of 5830768400 is 48670385.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 551874064 + 5278894336 = 23492^2 + 72656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7288061 + ... + 7288860.

Almost surely, 2^5830768400 is an apocalyptic number.

5830768400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5830768400 is an abundant number, since it is smaller than the sum of its proper divisors (8177653642).

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

5830768400 is a wasteful number, since it uses less digits than its factorization.

5830768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14576939 (or 14576928 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 5830768400 is about 76359.4683061636. The cubic root of 5830768400 is about 1799.8732832607.

The spelling of 5830768400 in words is "five billion, eight hundred thirty million, seven hundred sixty-eight thousand, four hundred".