8478400 has 84 divisors (see below), whose sum is σ = 23873968. Its totient is φ = 2903040.

The previous prime is 8478391. The next prime is 8478433. The reversal of 8478400 is 48748.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10822 + ... + 11578.

Almost surely, 2^8478400 is an apocalyptic number.

8478400 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 8478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11936984).

8478400 is an abundant number, since it is smaller than the sum of its proper divisors (15395568).

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

8478400 is a wasteful number, since it uses less digits than its factorization.

8478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 8478400 is about 2911.7692216245. The cubic root of 8478400 is about 203.9097383592.

The spelling of 8478400 in words is "eight million, four hundred seventy-eight thousand, four hundred".