8228774400 has 960 divisors, whose sum is σ = 35656574976. Its totient is φ = 1635532800.

The previous prime is 8228774399. The next prime is 8228774413. The reversal of 8228774400 is 44778228.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357772789 + ... + 357772811.

Almost surely, 2^8228774400 is an apocalyptic number.

8228774400 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 8228774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17828287488).

8228774400 is an abundant number, since it is smaller than the sum of its proper divisors (27427800576).

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

8228774400 is a wasteful number, since it uses less digits than its factorization.

8228774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 8228774400 is about 90712.5922901556. The cubic root of 8228774400 is about 2018.8856383414.

The spelling of 8228774400 in words is "eight billion, two hundred twenty-eight million, seven hundred seventy-four thousand, four hundred".