8827898400 has 252 divisors, whose sum is σ = 32314013802. Its totient is φ = 2353950720.

The previous prime is 8827898383. The next prime is 8827898407. The reversal of 8827898400 is 48987288.

8827898400 is a `hidden beast` number, since 8 + 82 + 78 + 98 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6933559824 + 1894338576 = 83268^2 + 43524^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8827898407) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 575632 + ... + 590768.

Almost surely, 2^8827898400 is an apocalyptic number.

8827898400 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 8827898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157006901).

8827898400 is an abundant number, since it is smaller than the sum of its proper divisors (23486115402).

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

8827898400 is a wasteful number, since it uses less digits than its factorization.

8827898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15175 (or 15147 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 8827898400 is about 93956.8965004698. The cubic root of 8827898400 is about 2066.7396690596.

The spelling of 8827898400 in words is "eight billion, eight hundred twenty-seven million, eight hundred ninety-eight thousand, four hundred".