8074804224400 has 135 divisors (see below), whose sum is σ = 19827818201281. Its totient is φ = 3160154235520.

The previous prime is 8074804224337. The next prime is 8074804224439. The reversal of 8074804224400 is 44224084708.

The square root of 8074804224400 is 2841620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2906929520784 + 5167874703616 = 1704972^2 + 2273296^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2671121289 + ... + 2671124311.

Almost surely, 2^{8074804224400} is an apocalyptic number.

8074804224400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8074804224400 is the 2841620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8074804224400

8074804224400 is an abundant number, since it is smaller than the sum of its proper divisors (11753013976881).

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

8074804224400 is an frugal number, since it uses more digits than its factorization.

8074804224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 43.

The spelling of 8074804224400 in words is "eight trillion, seventy-four billion, eight hundred four million, two hundred twenty-four thousand, four hundred".