8734400 has 84 divisors (see below), whose sum is σ = 22110192. Its totient is φ = 3394560.

The previous prime is 8734393. The next prime is 8734403. The reversal of 8734400 is 44378.

It is a self number, because there is not a number n which added to its sum of digits gives 8734400.

It is not an unprimeable number, because it can be changed into a prime (8734403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84749 + ... + 84851.

Almost surely, 2^8734400 is an apocalyptic number.

8734400 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 8734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11055096).

8734400 is an abundant number, since it is smaller than the sum of its proper divisors (13375792).

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

8734400 is a wasteful number, since it uses less digits than its factorization.

8734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 8734400 is about 2955.4018339305. The cubic root of 8734400 is about 205.9417310925.

Adding to 8734400 its reverse (44378), we get a palindrome (8778778).

The spelling of 8734400 in words is "eight million, seven hundred thirty-four thousand, four hundred".