8225708400 has 1080 divisors, whose sum is σ = 38043283824. Its totient is φ = 1625702400.

The previous prime is 8225708371. The next prime is 8225708411. The reversal of 8225708400 is 48075228.

It is a happy number.

8225708400 is a `hidden beast` number, since 8 + 2 + 2 + 570 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 38984295 + ... + 38984505.

Almost surely, 2^8225708400 is an apocalyptic number.

8225708400 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 8225708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19021641912).

8225708400 is an abundant number, since it is smaller than the sum of its proper divisors (29817575424).

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

8225708400 is a wasteful number, since it uses less digits than its factorization.

8225708400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8225708400 is about 90695.6911876193. The cubic root of 8225708400 is about 2018.6348649778.

The spelling of 8225708400 in words is "eight billion, two hundred twenty-five million, seven hundred eight thousand, four hundred".