307828652807808 has 1536 divisors, whose sum is σ = 1073960464711680. Its totient is φ = 86734474444800.

The previous prime is 307828652807803. The next prime is 307828652807843. The reversal of 307828652807808 is 808708256828703.

It is a happy number.

307828652807808 is a `hidden beast` number, since 3 + 0 + 7 + 8 + 28 + 6 + 528 + 0 + 78 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (307828652807803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 207571579035 + ... + 207571580517.

It is an arithmetic number, because the mean of its divisors is an integer number (699193010880).

Almost surely, 2^{307828652807808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307828652807808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536980232355840).

307828652807808 is an abundant number, since it is smaller than the sum of its proper divisors (766131811903872).

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

307828652807808 is a wasteful number, since it uses less digits than its factorization.

307828652807808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 307828652807808 in words is "three hundred seven trillion, eight hundred twenty-eight billion, six hundred fifty-two million, eight hundred seven thousand, eight hundred eight".