8880400 has 45 divisors (see below), whose sum is σ = 21479311. Its totient is φ = 3528320.

The previous prime is 8880379. The next prime is 8880413. The reversal of 8880400 is 40888.

It is a happy number.

The square root of 8880400 is 2980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2650384 + 6230016 = 1628^2 + 2496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59526 + ... + 59674.

Almost surely, 2^8880400 is an apocalyptic number.

8880400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8880400 is the 2980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8880400

8880400 is an abundant number, since it is smaller than the sum of its proper divisors (12598911).

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

8880400 is a wasteful number, since it uses less digits than its factorization.

8880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The cubic root of 8880400 is about 207.0828703487.

The spelling of 8880400 in words is "eight million, eight hundred eighty thousand, four hundred".