8825770400 has 36 divisors (see below), whose sum is σ = 21545913942. Its totient is φ = 3530307840.

The previous prime is 8825770397. The next prime is 8825770409. The reversal of 8825770400 is 40775288.

It can be written as a sum of positive squares in 3 ways, for example, as 6494425744 + 2331344656 = 80588^2 + 48284^2 .

It is not an unprimeable number, because it can be changed into a prime (8825770409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5515307 + ... + 5516906.

Almost surely, 2^8825770400 is an apocalyptic number.

8825770400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8825770400 is an abundant number, since it is smaller than the sum of its proper divisors (12720143542).

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

8825770400 is a wasteful number, since it uses less digits than its factorization.

8825770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11032233 (or 11032220 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 41.

The square root of 8825770400 is about 93945.5714762543. The cubic root of 8825770400 is about 2066.5735904434.

The spelling of 8825770400 in words is "eight billion, eight hundred twenty-five million, seven hundred seventy thousand, four hundred".