8024900400 has 360 divisors, whose sum is σ = 31207114224. Its totient is φ = 1892505600.

The previous prime is 8024900339. The next prime is 8024900407. The reversal of 8024900400 is 40094208.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (8024900407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1462462 + ... + 1467938.

Almost surely, 2^8024900400 is an apocalyptic number.

8024900400 is a gapful number since it is divisible by the number (80) 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 8024900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603557112).

8024900400 is an abundant number, since it is smaller than the sum of its proper divisors (23182213824).

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

8024900400 is a wasteful number, since it uses less digits than its factorization.

8024900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8024900400 is about 89581.8084211298. The cubic root of 8024900400 is about 2002.0728841667.

Adding to 8024900400 its reverse (40094208), we get a palindrome (8064994608).

The spelling of 8024900400 in words is "eight billion, twenty-four million, nine hundred thousand, four hundred".