8012774400 has 264 divisors, whose sum is σ = 26770731504. Its totient is φ = 2113536000.

The previous prime is 8012774389. The next prime is 8012774417. The reversal of 8012774400 is 44772108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7756284 + ... + 7757316.

It is an arithmetic number, because the mean of its divisors is an integer number (101404286).

Almost surely, 2^8012774400 is an apocalyptic number.

8012774400 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 8012774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13385365752).

8012774400 is an abundant number, since it is smaller than the sum of its proper divisors (18757957104).

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

8012774400 is a wasteful number, since it uses less digits than its factorization.

8012774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 8012774400 is about 89514.1016823606. The cubic root of 8012774400 is about 2001.0639672198.

The spelling of 8012774400 in words is "eight billion, twelve million, seven hundred seventy-four thousand, four hundred".